Quiz about Quadratic Functions Standard Form and Factored Form

Question 1

What is another word for zeros?

Accepted Answer

roots

Answer

y-intercepts

Answer

vertex

Answer

axis of symmetry

Question 2

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 3

What are the x-intercepts?

Accepted Answer

0 and 4

Answer

0 and 2

Answer

-4 and 0

Answer

2 and 3

Question 4

A quadratic function has zeros -7 and 9.

What are the linear factors of the function?

Accepted Answer

(x+7) (x-9)

Answer

(x-7) (x+9)

Answer

(-7,0) (9,0)

Answer

(0,-7) (0,9)

Question 5

Identify the x-intercepts:

y= -3(x-5)(x+5)

Accepted Answer

(5,0) and (-5,0)

Answer

(-3,0) and (5,0)

Answer

(5,0) and (0,5)

Answer

(0,5) and (0,-5)

Question 6

Does the quadratic have a max/min vertex, and does the parabola open up/down?

Accepted Answer

max/ opens down

Answer

min/ opens up

Answer

max/ opens up

Answer

min/ opens down

Question 7

What is the axis of symmetry for this parabola?

Accepted Answer

x = -1

Answer

x = 2

Answer

x = - 8

Answer

y = -1

Question 8

What relationship does the vertex of a parabola always have with the x-intercepts?!

Accepted Answer

It's the average of the zeros

Answer

It's the same as one of the numbers

Answer

It's the same as the y-intercept

Answer

It's the maximum

Question 9

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 10

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 11

What is the equation for this parabola in factored form?

Accepted Answer

y=(x+2)(x-1)

Answer

y=(x-2)(x+1)

Answer

y=(x-2)(x-1)

Answer

y=(x+2)(x+1)

Question 12

Find the y-intercept of the function and determine the direction the parabola opens:

y = x² + 10x + 24

Accepted Answer

(0, 24) Opens Up

Answer

(0,10) Opens Down

Answer

(24, 0) Opens Down

Answer

(10, 0) Opens Up

Question 13

What is the x-coordinate of the vertex of the parabola?

y = (x - 8)(x + 2) (Hint: find the x-intercepts first)

Accepted Answer

3

Answer

-3

Answer

8 and -2

Answer

-8 and 2

Question 14

Find the vertex y = (x - 5)(x - 1). (Hint: locate the zeros first)

Accepted Answer

(3, -4)

Answer

(5, 1)

Answer

(-5, - 1)

Answer

(-3, 32)

Question 15

What is the vertex of the function?

(Hint: find the roots first)

Accepted Answer

(-3, -16)

Answer

(3, 20)

Answer

(-6, -7)

Answer

(0, -7)

Question 16

Where is the vertex of the parabola?
$$y=2x^2+12x-13$$

(Hint: Use desmos or $$x=\frac{-b}{2a}$$ )

Accepted Answer

(-3, -31)

Answer

(3, -31)

Answer

(2, -13)

Answer

(12, -13)

Question 17

In factored form you can see the ______ of the graph easily.

Accepted Answer

x-intercepts

Answer

y-intercept

Answer

vertex

Question 18

What is the factored quadratic equation in the following graph?

Accepted Answer

(x - 2)(x - 6) = y

Answer

( x+ 2)(x + 6) = y

Answer

x² - 8x + 12 = y

Answer

(x - 4)(x + 4) = y

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