Quiz about Quadratics Pre-assessment

Question 1

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t² + 8t +24. How long will it take for you to hit the maximum height?

Accepted Answer

Axis of Symmetry

Answer

Roots (Solutions)

Answer

Vertex

Answer

y-intercept

Question 2

What was the maximum height of the water? Choose the key feature and the answer.

Accepted Answer

y-value of the vertex 10 feet

Answer

y-intercept, 0 feet

Answer

x-value of the vertex, 2 feet

Answer

x-intercept. 3.85 feet

Question 3

How do I find the y-value of the vertex?

Accepted Answer

find x = -b / 2a and then plug in for x and solve for y.

Answer

factor

Answer

x = -b / 2a gives you the y-value of the vertex

Answer

find -b / 2a and then plug in for y and solve for x.

Question 4

Use the graph to determine the X-intercepts

Accepted Answer

(1,0) and (3,0)

Answer

(-1,0) and (-3,0)

Answer

(0,1) and (0,3)

Answer

(0,-1) and (0,-3)

Question 5

What is the axis of symmetry?

Accepted Answer

x = -4

Answer

y = 2

Answer

x = -2

Answer

y = 0

Question 6

Identify the y-intercept.

Accepted Answer

(0,3)

Answer

(3,0)

Answer

(1,0)

Answer

(2,-1)

Question 7

Identify the vertex

Accepted Answer

(-1,-9)

Answer

(0,-8)

Answer

(-4,0)

Answer

(0,0)

Question 8

What is the significance of the ordered pair (0, -2) to the graph?

Accepted Answer

It is the y-intercept

Answer

It is the vertex

Answer

It is an x-intercept

Answer

It is the axis of symmetry

Question 9

What is the significance of the ordered pair (1, -2) to the graph?

Accepted Answer

It is the vertex

Answer

It is the maximum point

Answer

It is the y-intercept

Answer

It is an x-intercept

Question 10

Identify a root

Accepted Answer

(-4,0)

Answer

(-1,9)

Answer

(0,-8)

Answer

(0,0)

Question 11

Multiply
(1-3i)(2+5i)

Accepted Answer

17-i

Answer

22-i

Answer

16-i

Question 12

What is the GCF of the trinomial?
3x²- 9x -120

Accepted Answer

3

Answer

2

Answer

6

Answer

9

Question 13

Factor using difference of squares:
x²- 25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

Question 14

What is the vertex of
f(x) = 2(x - 5)² + 12

Accepted Answer

(5, 12)

Answer

(-5, -12)

Answer

(5,-12)

Answer

(-5, 12)

Question 15

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 16

Without using a graphing calculator: What direction is the following equation opening?
y=-3x²-7x+8

Accepted Answer

Down

Answer

Up

Question 17

What piece of information does c identify in the following equation?
y=ax²+bx+c

Accepted Answer

y-intercept

Answer

Zeroes

Answer

Axis of Symmetry

Answer

Direction

Question 18

What is the axis of symmetry for the following equation?
y=-x²+6x+9

Accepted Answer

x=3

Answer

x=2

Answer

x=-3

Answer

x=-2

Question 19

What equation matches the following graph?

Accepted Answer

y=-2x²-4x-3

Answer

y=2x²-4x-3

Answer

y=-2x²-4x+3

Answer

y=2x²-4x-6

Question 20

Solve 3x² - 192 = 0

Accepted Answer

-8 or 8

Answer

-32 or 32

Answer

No Solution

Answer

-64 or 64

Question 21

What is this?

Accepted Answer

This is the quadratic formula.

Answer

This is the speed of light formula.

Answer

This is the zero product property.

Answer

This is scary.

Question 22

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Accepted Answer

a translation shifting f(x) 4 units to the left

Answer

a reflection across the line x = -4

Answer

a reflection across the line y = -4

Answer

a translation shifting f(x) 4 units to the right

Quadratics Pre-assessment

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