Unit 8 Review

The table shows some of the points on the graph of a quadratic function.

What is the range of the quadratic function?

Tags

CCSS.HSF-IF.C.7A

The graph of the quadratic function shown on the grid models on online music company's profits per week where x is the number of songs sold.

Which statement about the x-intercepts of the graph is true?

• There is no profit between 250 songs and 3200 songs

• The profit is maximum at 1775 songs

• There is no profit at 250 songs and 3200 songs

• There is negative profit at less than 250 songs and more than 3200 songs

Quadratic functions j and k are graphed on the same coordinate grid.

The vertex of the graph of k is 3.3 units above the vertex of the graph of j.

Which pair of functions could have been used to create the graphs of j and k?

A quadratic function is shown.

Which equation can be used to represent the quadratic function?

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

A function is shown.

What are the domain and range of the function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The graph of quadratic function f is shown on the grid. The coordinates of the x-intercepts, the y-intercepts, and the vertex are integers.

What is the maximum value of f?

Record your answer in the space provided below.

Tags

CCSS.HSF-IF.C.7A

• The graph of k(x) is narrower than the graph of j(x) and translated up ten units.

• The graph of k(x) is narrower than the graph of j(x) and translated down ten units.

• The graph of k(x) is wider than the graph of j(x) and translated up ten units.

• The graph of k(x) is wider than the graph of j(x) and translated down ten units.

Isaac and Niko are both finalist in a skateboard competition. Isaac's skateboard is made of a new material that weighs less than Niko's, so Isaac will jump higher than Niko.

The graphs show the relationships between the height that Isaac and Niko will reach based on the time that has passed.

Which statements are true about the functions representing Isaac's and Niko's height and times?

Select TWO correct answers.

• The function for Niko's height, N(x), given time, x, is N(x)=x²–6x

• The function for Isaac's height, I(x), given time, x, is I(x)=–(x–4)²+16

• The function for Isaac's height, I(x), given time, x, is I(x)=–(x+4)²+16

• The function for Isaac's height, I(x), given time, x is I(x)=(x–4)²+16

• The function for Niko's height, N(x), given time, x, is N(x)=–x²+6x