Quiz about Playlist: Lesson 1-15 Review

Question 1

Which of the following is Standard Form?

Accepted Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-p\right)\left(x-q\right)$$

Answer

$$y=a\left(x-h\right)^2+k$$

Question 2

What feature of a quadratic does Standard Form tell you?

Accepted Answer

y-intercept

Answer

vertex

Answer

maximum/minimum

Answer

zeros/x-intercepts

Question 3

Which of the following is Vertex Form?

Accepted Answer

$$y=a\left(x-h\right)^2+k$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-p\right)\left(x-q\right)$$

Question 4

What feature of a quadratic does Vertex Form tell you?

Accepted Answer

vertex

Answer

y-intercept

Answer

zeros/x-intercepts

Question 5

Which of the following is Factored Form?

Accepted Answer

$$y=a\left(x-p\right)\left(x-q\right)$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-h\right)^2+k$$

Question 6

What feature of a quadratic does Factored Form tell you?

Accepted Answer

zeros/x-intercepts

Answer

y-intercept

Answer

vertex

Answer

maximum/minimum

Question 7

What is an equation of a quadratic with x-intercepts at $$\left(-1,0\right)$$ and $$\left(-10,0\right)$$ ?

Accepted Answer

$$y=\frac{1}{3}\left(x+1\right)\left(x+10\right)$$

Answer

$$y=2\left(x+1\right)\left(x-10\right)$$

Answer

$$y=-\frac{1}{10}\left(x-1\right)\left(x+10\right)$$

Answer

$$y=3\left(x-1\right)\left(x-10\right)$$

Question 8

What is an equation of a quadratic with x-intercepts at $$\left(4,0\right)$$ and $$\left(-5,0\right)$$ ?

Accepted Answer

$$y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$$

Answer

$$y=-\frac{1}{3}\left(x+4\right)\left(x-5\right)$$

Answer

$$y=4\left(x+4\right)\left(x+5\right)$$

Answer

$$y=3\left(x-4\right)\left(x-5\right)$$

Question 9

What is an equation of a quadratic with x-intercepts at $$\left(7,0\right)$$ and $$\left(11,0\right)$$ ?

Accepted Answer

$$y=\frac{3}{2}\left(x-7\right)\left(x-11\right)$$

Answer

$$y=-\frac{1}{3}\left(x+7\right)\left(x-11\right)$$

Answer

$$y=-\left(x+7\right)\left(x+11\right)$$

Answer

$$y=\frac{2}{5}\left(x-7\right)\left(x+11\right)$$

Question 10

$$y=-\frac{2}{3}\left(x-4\right)^2+10$$

What is the vertex of the parabola with this equation?

Accepted Answer

$$\left(4,10\right)$$

Answer

$$\left(-4,10\right)$$

Answer

$$\left(4,-10\right)$$

Answer

$$\left(-4,-10\right)$$

Question 11

$$y=5\left(x+3\right)^2-2$$

What is the vertex of the parabola with this equation?

Accepted Answer

$$\left(-3,-2\right)$$

Answer

$$\left(3,2\right)$$

Answer

$$\left(-3,2\right)$$

Answer

$$\left(3,-2\right)$$

Question 12

$$y=8\left(x-2\right)\left(x+3\right)$$

What are the zeros/x-intercepts of this equation?

Accepted Answer

$$\left(2,0\right)\ and\ \left(-3,0\right)$$

Answer

$$\left(2,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(-2,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(-2,0\right)\ and\ \left(-3,0\right)$$

Question 13

$$y=-\frac{2}{3}\left(x+1\right)\left(x+3\right)$$

What are the zeros/x-intercepts of this equation?

Accepted Answer

$$\left(-1,0\right)\ and\ \left(-3,0\right)$$

Answer

$$\left(1,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(-1,0\right)\ and\ \left(3,0\right)$$

Answer

$$\left(1,0\right)\ and\ \left(-3,0\right)$$

Question 14

$$y=\frac{1}{4}\left(x+5\right)\left(x-6\right)$$

What are the zeros/x-intercepts of this equation?

Accepted Answer

$$\left(-5,0\right)\ and\ \left(6,0\right)$$

Answer

$$\left(5,0\right)\ and\ \left(6,0\right)$$

Answer

$$\left(5,0\right)\ and\ \left(-6,0\right)$$

Answer

$$\left(-5,0\right)\ and\ \left(-6,0\right)$$

Question 15

What is the Factored Form of $$y\ =\ x^2-3x-21$$ ?

Accepted Answer

$$\left(x+4\right)\left(x-7\right)$$

Answer

$$\left(x-4\right)\left(x-7\right)$$

Answer

$$\left(x+4\right)\left(x+7\right)$$

Answer

$$\left(x-4\right)\left(x+7\right)$$

Question 16

If the Factored Form of $$y\ =\ x^2-3x-21$$ is $$y\ =\ \left(x+4\right)\left(x-7\right)$$ , what are the zeros/x-intercepts?

Accepted Answer

x = -4, x = 7

Answer

x = 4, x = -7

Answer

x = 4, x = -7

Question 17

What would be the Vertex Form of $$y\ =\ x^2+6x-9$$ ?

Accepted Answer

$$y\ =\ \left(x+3\right)^2-18$$

Answer

$$y\ =\ \left(x-3\right)^2-9$$

Answer

$$y\ =\ \left(x+6\right)^2-9$$

Answer

$$y\ =\ \left(x+3\right)^2-9$$

Question 18

What is the vertex of $$y\ =\ \left(x+3\right)^2-18$$ ?

Accepted Answer

(-3, -18)

Answer

(3, 18)

Answer

(3, -18)

Answer

(-3, 18)

Question 19

What's another name for the x-intercepts?

Accepted Answer

Roots

Answer

Vertices

Answer

axis of symmetry

Answer

Minimums

Question 20

Which is parabola opens downward?

Accepted Answer

y = -x² + 2x - 7

Answer

y = x² - 5x - 4

Answer

y = (x - 3)² - 8

Answer

y = -3x + 2

Question 21

What's another name for the x-intercepts?

Accepted Answer

Zeros

Answer

Factors

Answer

Domain

Answer

Range

Question 22

Does this graph have a maximum or a minimum?

Accepted Answer

minimum

Answer

maximum

Answer

I am not sure.

Answer

neither

Question 23

Which quadratic graph has a vertex that is a maximum point?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

None of the above

Question 24

When did the water reach its maximum height?

Choose the best answer.

Accepted Answer

2 seconds

Answer

9 seconds

Answer

0 seconds

Answer

3.8 seconds

Question 25

How high was the ball when it was initially (first) thrown? Choose the best answer.

Accepted Answer

3 feet because this is the y-intercept.

Answer

0 feet because this is the y-intercept.

Answer

4 seconds because this is the axis of symmetry.

Answer

5 feet because this is the y-value of the vertex (highest point).

Question 26

This graph shows the height of a soccer ball in feet over time in seconds. Which statement is true?

Accepted Answer

The soccer ball hits the ground again at 6 seconds.

Answer

The soccer ball reaches a minimum point at 3 seconds.

Answer

The soccer ball starts at a height of 4 feet.

Answer

The soccer ball stays on the ground the whole time.

Question 27

What was the maximum height of the ball?

Accepted Answer

5 feet

Answer

3 feet

Answer

6 feet

Answer

4 feet

Question 28

What was the height of the water at 3 seconds?

Accepted Answer

7 feet

Answer

9 feet

Answer

10 feet

Answer

5 feet

Question 29

True or False: Quadratic equations with a negative sign face downward.

Example: $$y\ =\ -x^2$$

Accepted Answer

TRUE

Answer

FALSE

Answer

I don't know...

Question 30

True or False: A quadratic function which faces upward has a maximum.

Accepted Answer

FALSE

Answer

TRUE

Answer

I don't know...

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