EOC Expressions (Quadratic)

Authored by Jonathan Barron

Mathematics

9th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = (x - 5)² + 3
Which graph represents the quadratic function?

Answer explanation

Graph (x, y) point for vertex is (5, 3)
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (3) must have same sign (3) in function
----- ----- ----- -----
f(x) = (x - 5)² + 3
Function and graph match

f(x) = (x + 5)² - 3
Which graph represents the quadratic function?

Answer explanation

Graph (x, y) point for vertex is (-5, -3)
----- ----- ----- -----
X-value for vertex (-5) must have opposite sign (5) in function
----- ----- ----- -----
Y-value for vertex (-3) must have same sign (-3) in function
----- ----- ----- -----
f(x) = (x + 5)² - 3
Function and graph match

Which of the following quadratic functions has the vertex (2, 4)?

f(x) = 4(x − 2)² + 4

f(x) = 3(x + 2)² + 4

f(x) = 2(x − 4)² + 2

f(x) = 2(x + 4)² + 2

Answer explanation

Graph (x, y) point for vertex is (2, 4)
----- ----- ----- -----
X-value for vertex (2) must have opposite sign (-2) in function
----- ----- ----- -----
Y-value for vertex (4) must have same sign (4) in function
----- ----- ----- -----
f(x) = a(x - 2)² + 4
Function and graph match
----- ----- ----- -----
f(x) = 4(x − 2)² + 4
This is correct option

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = 3(x − 5)² + 7
What is the vertex of the following quadratic function?

(7, -5)

(5, 7)

(3, 5)

(-5, 7)

Answer explanation

f(x) = 3(x − 5)² + 7
----- ----- ----- -----
You can graph the function to see the vertex is (5, 7), or you could interpret the function without graphing
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (7) must have same sign (7) in function
----- ----- ----- -----
(5, 7) is the vertex point

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = x² – 12x + 9
What is the vertex of the following quadratic function?

(6, -27)

(-12, 9)

(12, -9)

(-6, -27)

Answer explanation

f(x) = x² – 12x + 9
----- ----- ----- -----
You can graph the function to see the vertex is (6, -27)

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = x² – 12x + 9
What is the vertex form of the following quadratic function?

f(x) = (x - 6)² - 27

f(x) = (x + 6)² - 27

f(x) = (x - 6)² + 27

f(x) = (x + 6)² + 27

Answer explanation

f(x) = x² – 12x + 9
----- ----- ----- -----
You can graph the function to see the vertex is (6, -27)
----- ----- ----- -----
X-value for vertex (6) must have opposite sign (-6) in new function
----- ----- ----- -----
Y-value for vertex (-27) must have same sign (-27) in new function
----- ----- ----- -----
f(x) = (x - 6)² - 27

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = -3(x + 4)² + 2
Find the maximum or minimum of the graph of the quadratic function.

Max: 2

Min: 2

Max: 4

Min: 4

Max: -4

Answer explanation

f(x) = -3(x + 4)² + 2
----- ----- ----- -----
Graph (x, y) point for vertex is (-4, 2)
----- ----- ----- -----
The y-value for the vertex is the maximum value on graph (the highest point)
----- ----- ----- -----
Max: y = 2

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EOC Expressions (Quadratic)

f(x) = (x - 5)² + 3
Which graph represents the quadratic function?

Graph (x, y) point for vertex is (5, 3)
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (3) must have same sign (3) in function
----- ----- ----- -----
f(x) = (x - 5)² + 3
Function and graph match

f(x) = (x + 5)² - 3
Which graph represents the quadratic function?

Graph (x, y) point for vertex is (-5, -3)
----- ----- ----- -----
X-value for vertex (-5) must have opposite sign (5) in function
----- ----- ----- -----
Y-value for vertex (-3) must have same sign (-3) in function
----- ----- ----- -----
f(x) = (x + 5)² - 3
Function and graph match

Which of the following quadratic functions has the vertex (2, 4)?

f(x) = 3(x − 5)² + 7
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
----- ----- ----- -----
You can graph the function to see the vertex is (6, -27)

f(x) = x² – 12x + 9
What is the vertex form of the following quadratic function?

f(x) = -3(x + 4)² + 2
Find the maximum or minimum of the graph of the quadratic function.

f(x) = -3(x + 4)² + 2
----- ----- ----- -----
Graph (x, y) point for vertex is (-4, 2)
----- ----- ----- -----
The y-value for the vertex is the maximum value on graph (the highest point)
----- ----- ----- -----
Max: y = 2

f(x) = x² + 6x + 8
What are the zeros for the function above?
(select two answers)

f(x) = x² + 6x + 8
----- ----- ----- -----
Zeros refers x-intercepts
----- ----- ----- -----
Graph shows two x-intercepts
(-4, 0) and (-2, 0)
----- ----- ----- -----
The x-value for each x-intercept point (x, y) is the zero
----- ----- ----- -----
x = -4 and x = -2 are the zeros

f(x) = x² + 6x + 8
What is the factored form of the following quadratic function?

f(x) = x² + 6x + 8
----- ----- ----- -----
x = -4 and x = -2 are the zeros found on previous question
----- ----- ----- -----
Use opposite sign of each zero in formula for r-values
f(x) = (x - r₁)(x - r₂)
----- ----- ----- -----
f(x) = (x + 4)(x + 2)

f(x) = x² - 2x - 15
What is the factored form of the following quadratic function?

f(x) = x² - 2x - 15
----- ----- ----- -----
x = -3 and x = 5 are the zeros found on previous question
----- ----- ----- -----
Use opposite sign of each zero in formula for r-values
f(x) = (x - r₁)(x - r₂)
----- ----- ----- -----
f(x) = (x + 3)(x - 5)

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EOC Expressions (Quadratic)

f(x) = (x - 5)2 + 3Which graph represents the quadratic function?

Graph (x, y) point for vertex is (5, 3)----- ----- ----- -----X-value for vertex (5) must have opposite sign (-5) in function----- ----- ----- -----Y-value for vertex (3) must have same sign (3) in function----- ----- ----- -----f(x) = (x - 5)2 + 3Function and graph match

f(x) = (x + 5)2 - 3Which graph represents the quadratic function?

Graph (x, y) point for vertex is (-5, -3)----- ----- ----- -----X-value for vertex (-5) must have opposite sign (5) in function----- ----- ----- -----Y-value for vertex (-3) must have same sign (-3) in function----- ----- ----- -----f(x) = (x + 5)2 - 3Function and graph match

Which of the following quadratic functions has the vertex (2, 4)?

f(x) = 3(x − 5)2 + 7What is the vertex of the following quadratic function?

f(x) = x2 – 12x + 9What is the vertex of the following quadratic function?

f(x) = x2 – 12x + 9----- ----- ----- -----You can graph the function to see the vertex is (6, -27)

f(x) = x2 – 12x + 9What is the vertex form of the following quadratic function?

f(x) = -3(x + 4)2 + 2Find the maximum or minimum of the graph of the quadratic function.

f(x) = -3(x + 4)2 + 2----- ----- ----- -----Graph (x, y) point for vertex is (-4, 2)----- ----- ----- -----The y-value for the vertex is the maximum value on graph (the highest point)----- ----- ----- -----Max: y = 2

f(x) = x2 + 6x + 8What are the zeros for the function above?(select two answers)

f(x) = x2 + 6x + 8----- ----- ----- -----Zeros refers x-intercepts----- ----- ----- -----Graph shows two x-intercepts(-4, 0) and (-2, 0)----- ----- ----- -----The x-value for each x-intercept point (x, y) is the zero----- ----- ----- -----x = -4 and x = -2 are the zeros

f(x) = x2 + 6x + 8What is the factored form of the following quadratic function?

f(x) = x2 + 6x + 8----- ----- ----- -----x = -4 and x = -2 are the zeros found on previous question----- ----- ----- -----Use opposite sign of each zero in formula for r-valuesf(x) = (x - r1)(x - r2)----- ----- ----- -----f(x) = (x + 4)(x + 2)

f(x) = x2 - 2x - 15What is the factored form of the following quadratic function?

f(x) = x2 - 2x - 15----- ----- ----- -----x = -3 and x = 5 are the zeros found on previous question----- ----- ----- -----Use opposite sign of each zero in formula for r-valuesf(x) = (x - r1)(x - r2)----- ----- ----- -----f(x) = (x + 3)(x - 5)

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f(x) = (x - 5)² + 3
Which graph represents the quadratic function?

Graph (x, y) point for vertex is (5, 3)
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (3) must have same sign (3) in function
----- ----- ----- -----
f(x) = (x - 5)² + 3
Function and graph match

f(x) = (x + 5)² - 3
Which graph represents the quadratic function?

Graph (x, y) point for vertex is (-5, -3)
----- ----- ----- -----
X-value for vertex (-5) must have opposite sign (5) in function
----- ----- ----- -----
Y-value for vertex (-3) must have same sign (-3) in function
----- ----- ----- -----
f(x) = (x + 5)² - 3
Function and graph match

f(x) = 3(x − 5)² + 7
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
----- ----- ----- -----
You can graph the function to see the vertex is (6, -27)

f(x) = x² – 12x + 9
What is the vertex form of the following quadratic function?

f(x) = -3(x + 4)² + 2
Find the maximum or minimum of the graph of the quadratic function.

f(x) = -3(x + 4)² + 2
----- ----- ----- -----
Graph (x, y) point for vertex is (-4, 2)
----- ----- ----- -----
The y-value for the vertex is the maximum value on graph (the highest point)
----- ----- ----- -----
Max: y = 2

f(x) = x² + 6x + 8
What are the zeros for the function above?
(select two answers)

f(x) = x² + 6x + 8
----- ----- ----- -----
Zeros refers x-intercepts
----- ----- ----- -----
Graph shows two x-intercepts
(-4, 0) and (-2, 0)
----- ----- ----- -----
The x-value for each x-intercept point (x, y) is the zero
----- ----- ----- -----
x = -4 and x = -2 are the zeros

f(x) = x² + 6x + 8
What is the factored form of the following quadratic function?

f(x) = x² + 6x + 8
----- ----- ----- -----
x = -4 and x = -2 are the zeros found on previous question
----- ----- ----- -----
Use opposite sign of each zero in formula for r-values
f(x) = (x - r₁)(x - r₂)
----- ----- ----- -----
f(x) = (x + 4)(x + 2)

f(x) = x² - 2x - 15
What is the factored form of the following quadratic function?

f(x) = x² - 2x - 15
----- ----- ----- -----
x = -3 and x = 5 are the zeros found on previous question
----- ----- ----- -----
Use opposite sign of each zero in formula for r-values
f(x) = (x - r₁)(x - r₂)
----- ----- ----- -----
f(x) = (x + 3)(x - 5)