Unit 4B Review

What are the vertex and axis of symmetry for the function

 $y=x^2-6x+11?$  

• Axis of Symmetry: x = 3, Vertex: (3,2)

• Axis of Symmetry: x = -3, Vertex: (-3,38)

• Axis of Symmetry: x = 6, Vertex: (6,11)

• Axis of Symmetry: x = -6, Vertex: (-6,83)

The table shows the relationship between x and y. What is the equation that model this table?

• $y=3x^2-1$

• $y=6x^2-1$

• $y=2x^2+3$

• $y=2x^2-4$

Pattern A models a quadratic relationship as a sequence. Which function could model this sequence?

• $f\left(x\right)=n^2+4$

• $f\left(n\right)=2n^2+4$

• $f\left(n\right)=n^2+4n$

A rectangular garden has a length that is six feet longer than the width. The garden has a cement walkway that is seven feet in every direction. What expression represents the area of the garden and the walkway?

• w(w+6)

• (w+14)(w+20)

• w(w+6)(7)

• (w+6)(w+7)

A dolphin jumps from the water. The equation h = -16t² + 80t models the dolphin's height at any given time, t. When will the dolphin reach a height of 96 feet? Select all that apply.

• 1 second

• 2 seconds

• 3 seconds

• 5 seconds

Given the sequence below, what explicit expression can be used to find the nth term?

9, 18, 31, 48 ...

Tags

CCSS.HSF.BF.A.2

• The maximum height

• The final height

• The starting height

• The time it takes to reach the maximum height

Which quadratics will be concave up? Select all that apply.

Tags

CCSS.HSF-IF.C.7A

y = -16x² + vx + h represents the height of an object, in feet, x seconds after it was thrown/kicked/launched/etc. h represents the initial height.

A ball was kicked from the ground with an initial velocity of 32 feet per second. What function represents the height of the ball?

• y = -16x² - 32x

• y = -16x² + 32x

• y = -16x² + 32

• y = -16x² + 32x + 1

y = -16x² + vx + h represents the height of an object, in feet, x seconds after it was thrown/kicked/launched/etc. h represents the initial height.

A ball was kicked from the ground with an initial velocity of 32 feet per second. What is the domain of this function?

• [0,3]

• [0,2]

• (0,3)

• (0,2)