Chapter 8 Review

Chapter 8 Review

Multiple Select

Which of the following statements are true about 

 $f\left(x\right)=-3x^2$  and  $g\left(x\right)=x^2$  ?

• f(x) is wider than g(x)

• f(x) is more narrow than g(x)

• f(x) opens the same direction as g(x)

• f(x) opens the opposite direction as g(x)

Multiple Choice

Over what interval is the table decreasing?

• x < 0

• x > 0

• x = 0

Multiple Choice

Which function below shows a translation of $f\left(x\right)=x^2$  left 6 units and down 5 units?

•  $g\left(x\right)=\left(x-6\right)^2-5$  

•  $g\left(x\right)=\left(x+6\right)^2+5$  

•  $g\left(x\right)=\left(x+6\right)^2-5$  

•  $g\left(x\right)=\left(x-6\right)^2+5$  

Multiple Choice

What is the vertex of the function  $f\left(x\right)=2\left(x-5\right)^2+1$  

• (5,-1)

• (-5,1)

• (5,1)

• (-5,-1)

Multiple Choice

What is the axis of symmetry of the function  $f\left(x\right)=2\left(x-5\right)^2+1$  ?

• x = -5

• x = 5

• y = -5

• y = 5

Fill in the Blank

Given  $f\left(x\right)=2\left(x-5\right)^2+1$ , find  $f\left(6\right).$  

Fill in the Blank

Given  $f\left(x\right)=-x^2-2x+4$  find the axis of symmetry.

Fill in the Blank

What is the vertex of  $f\left(x\right)=-x^2-2x+4$  ?

Fill in the Blank

What is the y-intercept of  $f\left(x\right)=-x^2-2x+4$  

Fill in the Blank

Enter your quadratic regression for the table given on the previous slide. Round each number to two decimal places. Do not use spaces, and use x^2 to type x squared. Be sure to start your equation with y=

Multiple Choice

Mary shoots a basketball. The equation that represents the vertical motion of the ball is  $h\left(t\right)=-16t^2+8t+3$ . The initial velocity of the ball is:

• -16

• 8

• 3

Fill in the Blank

Mary shoots a basketball. The equation that represents the vertical motion of the ball is   $h\left(t\right)=-16t^2+8t+3$  .  Find the time the ball reaches its maximum.

Fill in the Blank

Mary shoots a basketball. The equation that represents the vertical motion of the ball is  

 $h\left(t\right)=-16t^2+8t+3$  .  What is the maximum height of the basketball

Multiple Choice

Convert the vertex form equation to standard form:

 $y=-2\left(x-5\right)^2+8$  

•  $y=-2x^2+20x-50$  

•  $y=-2x^2+20x-42$  

•  $y=-2x^2+20x-66$  

•  $y=-2x^2-10x+33$  

Multiple Choice

How can you tell if a given table of values is exponential?

• The first difference of the y-values is the same.

• The second difference of the y-values is the same.

• The ratio of the y-values is the same.

Multiple Choice

How can you tell if a given table of values is quadratic?

• The first difference of the y-values is the same.

• The second difference of the y-values is the same.

• The ratio of the y-values is the same.

Multiple Choice

How can you tell if a given table of values is linear?

• The first difference of the y-values is the same.

• The second difference of the y-values is the same.

• The ratio of the y-values is the same.