Quiz about All Quadratic Review

Question 1

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 2

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 3

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 4

Which equation has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = (x+3)² - 4

Answer

y = (x-3)² + 4

Answer

y = 2(x - 3)² + 4

Question 5

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 6

What is the axis of symmetry of the given function?

Accepted Answer

x = 1

Answer

y = 1

Answer

y = -1

Answer

x = -1

Question 7

Which of the following equations matches standard form of a quadratic?

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 8

What is the green dot on the parabola called?

Accepted Answer

vertex

Answer

root

Answer

dot

Question 9

The vertex of this graph is a

Accepted Answer

maximum

Answer

minumum

Question 10

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 11

What effects does "a" have on the parent function?

Accepted Answer

Vertical stretch/compression

Answer

Horizontal shift (left/right)

Answer

Vertical shift (up/down)

Question 12

What effects does "h" have on the parent function?

Accepted Answer

Horizontal shifts (left/right)

Answer

Vertical stretch/compression

Answer

Vertical shifts (up/down)

Question 13

What effects does "k" have on the parent function?

Accepted Answer

Vertical shifts (up/down)

Answer

Vertical stretch/compression

Answer

Horizontal shifts (left/right)

Question 14

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

Accepted Answer

Vertical stretch by a factor of 5

Answer

Vertical shrink/compress by a factor of 5

Answer

Reflect over x-axis

Answer

Vertical shift up 5 units

Question 15

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

Accepted Answer

Vertical Stretch by a factor of 2 and vertical shift up 4 units

Answer

Vertical Shrink/Compress by a factor 2 and vertical shift up 4

Answer

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

Answer

Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

Question 16

Identify A, B, and C if y=3x²-8+5x

Accepted Answer

A=3, B=5, C=-8

Answer

A=3, B=-8, C=5

Answer

A=3x², B=5x, C=-8

Answer

A=3x² , B=-8, C=5x

Question 17

Determine the vertex of the parabola:
y = 5x²- 20x + 13

Accepted Answer

(2, -7)

Answer

(5, -7)

Answer

(-2, -7)

Answer

(-7, -2)

Question 18

What is the formula to find the vertex of a parabola?

Accepted Answer

x = -b / (2a)

Answer

x = -b/2

Answer

x = -b

Answer

x = -b / 2

Question 19

What is the axis of symmetry for the following function
f(x) = 2x² - 2x + 3

Accepted Answer

x = 1/2

Answer

y = 1/2

Answer

x = 3

Answer

y = 3

Question 20

What is the range of this function?

Accepted Answer

[-2, inf)

Answer

(-inf, -2]

Answer

[2, inf)

Answer

(-inf, 2]

Question 21

Does this parabola have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Question 22

What's the axis of symmetry of y = 3x²- 6x + 4

Accepted Answer

x=1

Answer

x=-6

Answer

x=2

Answer

x=-1

Question 23

Identify a of the following quadratic function:
y = x²+ 16x + 64

Accepted Answer

1

Answer

2

Answer

16

Answer

64

Question 24

Identify b of the following quadratic function:
y = x²+ 16x + 64

Accepted Answer

16

Answer

2

Answer

1

Answer

64

Question 25

Identify c of the following quadratic function:
y = x²+ 16x + 64

Accepted Answer

64

Answer

2

Answer

1

Answer

16

Question 26

What is the graph for the equation:

f(x) = (x - 6)² + 4

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 27

What is the definition for a vertex?

Accepted Answer

place where the curve changes direction

Answer

mirror line in a quadratic

Answer

place where the curve crosses the x axis

Answer

place where the curve crosses the y axis

Question 28

What is the definition of an axis of symmetry?

Accepted Answer

the mirror line in a quadratic

Answer

place where the curve changes direction

Answer

place where the curve crosses the x axis

Answer

place where the curve crosses the y axis

Question 29

Which equation below is a quadratic?

Accepted Answer

y=3x2-6

Answer

y=9x+5

Answer

y=5x3+6

Answer

x=3x

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