Quiz about Algebra 2 Savvas

Question 1

Describe the transformation of y = (x - 4)²

Accepted Answer

Shift RIGHT

Answer

Shift UP

Answer

Shift DOWN

Answer

Shift LEFT

Question 2

Describe the transformation of y = x² + 4

Accepted Answer

Shift UP

Answer

Shift DOWN

Answer

Shift LEFT

Answer

Shift RIGHT

Question 3

Match the equation to its description.

Accepted Answer

Stretched by 4 and up 4

Answer

Compressed by 4 and up 4

Answer

Stretched by 4 and left 4

Answer

Compressed by 4 and left 4

Question 4

Match the equation to its description.

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 5

Match the equation to its description.

Accepted Answer

Reflected over x, right 2 and up 1

Answer

Reflected over x, left 2 and up 1

Answer

Reflected over x, right 2 and down 1

Answer

Reflected over x, left 2 and down 1

Question 6

What is the axis of symmetry for the following equation?
y=4x²-8x+9

Accepted Answer

x=1

Answer

x=-8

Answer

x=-1

Answer

x=2

Question 7

How many solutions does this graph have?

Accepted Answer

no solutions

Answer

one

Answer

two

Answer

cannot be determined

Question 8

Which answer choice describes
y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 9

What is the vertex of the parabola: y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 10

Find the axis of symmetry for
f(x) = x²- 8x + 15.

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 11

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 12

What are the roots of the function
f(x)= (x - 2)(x + 3)?

Accepted Answer

x = 2 or x = -3

Answer

x = - 2 or x = 3

Answer

The are no real roots

Answer

x = 2 or x = 3

Question 13

What are the zeros of the function
f(x)= -4(x - 3)(x+5)?
*Hint: Type the function into y=

Accepted Answer

-5 and 3

Answer

-12 and 20

Answer

-4 and -5

Answer

-3 and 5

Question 14

Which of the following is the vertex of the graph of the equation
y= -x²+2x+3?

Accepted Answer

(1,4)

Answer

(0,3)

Answer

(-1,0)

Answer

(3,0)

Question 15

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 16

A parabola is the set of all points equidistant from the focus and the directrix.

Accepted Answer

true

Answer

false

Question 17

The 'p' value represents the distance between the vertex and the focus AND the vertex and the directrix.

Accepted Answer

True

Answer

False

Question 18

If the directrix is y = 4 and the focus is at
(3, 0), the value of p is:

Accepted Answer

-2

Answer

8

Answer

-8

Answer

2

Question 19

What is the vertex of the quadratic function:
y=1/2(x-3)²+8?

Accepted Answer

(3,8)

Answer

(-3,-8)

Answer

(-3,8)

Answer

(3,-8)

Question 20

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

Question 21

What is the y-intercept of
f(x)=-2x² + 4x - 6

Accepted Answer

(0, -6)

Answer

(0, 6)

Answer

(6, 0)

Answer

(-6, 0)

Question 22

Which function has a translation of 7 units down and reflects over the x-axis?

Accepted Answer

f(x) = -(x - 1)² - 7

Answer

f(x) = -(x - 7)² + 1

Answer

f(x) = (x + 7)² + 1

Answer

f(x) = (x + 1)² - 7

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