3/16 Unit 3C Review

A quadratic pattern is shown. Which function could represent the number of squares in figure n? The color of the squares doesn’t matter.

• $f\left(n\right)=2n^2+2n+1$

• $f\left(n\right)=2n^2-2n+1$

• $f\left(n\right)=2n^2-2n$

• $f\left(n\right)=n^2+2n-2$

The points (0,5), (1,2), and (2,-7) are on the graph of what quadratic function

• y = x² + 5

• y = 3x² + 5

• y = -3x² + 5

• y = 2x² + 5

A rectangular pool has a length that is 9 feet longer than the width. Let w represent the width of the pool, in feet. The pool is surrounded by a walkway that is 12 feet in every direction.

Which expression represents the area of the pool and the walkway?

• w(w+9)

• (w+12)(w+9)

• (w+24)(w+33)

• w(w+9)(12)

An object was tossed into the air. The object's height, in feet, after t seconds can be modeled by the expression -16t² + 32t + 6.

What does the 6 represent in the expression?

• The maximum height

• When the object reaches its maximum height

• When the object lands

• The starting height of the object

In the sequence below, what would the 12th term be?

8,17,30,47,68 ...

• 327

• 278

• 380

• 250

A rug has a length that is two feet longer than three times the width. The area of the rug is 85 square feet. Which equation would help find the width of the rug?

• 85 = x(2+3x)

• 85 = (x+2)(x+3)

• 85 = (x-2)(x-3)

• 85 = x(x+3)

A rug has a length that is two feet longer than three times the width. If the area of the rug is 85 square feet, what is the width?

• 17 feet

• 4 feet

• 15 feet

• 5 feet

A parabola intersects the x-axis at (-10,0) and (8,0). What could the equation of the parabola be?

• y = x² - 2x - 80

• y = (x-10)(x+8)

• y = x² + 2x - 80

• y = x² - 2x + 80

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

A ball was kicked from the ground with an initial velocity of 32 feet per second. its height, in feet, after x seconds can be modeled by the function y = -16x² + 32x.

What would a reasonable domain for this scenario look like?

• All real numbers

• 0 ≤ x ≤ 32

• All positive numbers

• 0 ≤ x ≤ 2

• All positive integers