Enhanced Unit 3A Review

The first 3 figures in a pattern are shown. Which of the following functions represents f(n), the number of small squares in figure n?

What are the x-intercepts for the function f(x) = x² + 9x + 14?

• (2, 0) and (7, 0)

• (-2, 0) and (-7, 0)

• (2, 0) and (-7, 0)

• (-2, 0) and (7, 0)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the end behavior of the graph of f(x) = –5x² – 3x – 4?

If (x - 2)² = 6, then what values of x make the quadratic equation true?

Tags

CCSS.HSA-REI.B.4B

Label the key features for the given graph.

a

b

c

vertex

y-intercept

x-intercept

Tags

CCSS.HSF-IF.C.7A

The y-intercept is​ ​ (a)   .

The x-intercept is ​ (b)   .

• the starting height
• how long the object has been in the air
• the maximum height
• the time it takes to reach the max height

The x-coordinate of the vertex represents​ ​ (a)   .

The y-coordinate of the vertex represents​ (b)   .

• the maximum height
• the time it takes to reach the max height
• how long the object has been in the air
• the initial height

A ball is kicked into the air. The height of the ball, in feet, as a function of time, in seconds, is represented in the graph. Use the graph to find the average rate of change of the height of the ball for the first 0.5 second after being kicked.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

An object is projected into the air. The height of the object after t seconds is modeled by the function in the graph. Time, t, is measured in seconds and height, h(t), is measured in feet. Which of the following statements are TRUE? Select all that apply.

• The object reaches a maximum height of 12 feet.

• The object reaches its maximum height after 12 seconds of flight.

• The flight is symmetric at the line t = 10.

• The object is launched from the ground.

• The object is flying in the air during the interval

  0 < t < 25.93

A rectangular park has a length that is 4 feet longer than its width. Let w represent the width of the park in feet. The entire park is surrounded by a 3-foot-wide cement walkway. What does the algebraic expression (w + 6)(w + 10) represent in this context?

• the area of the park only

• the total area of the park and walkway

• the perimeter of the park only

• the perimeter of the walkway only