Unit 3.2 Study Guide

A circle with a radius of 9 units is graphed with its origin. The circle is then dilated by a scale factor of 3 about the origin.

Which two statements are true about the circle's image?

• The image's center is at (0,0).

• The image's center is not at (0,0).

• The image has a radius of 3.

• The image has a radius of 9.

• The image has a radius of 27.

Which equation represents a linear function?

• y=x²-3

• y=4x+3

• y= 4

  x-8

• y=3(x+6)³

ΔABC is plotted on a coordinate plane. It is reflected across the x-axis and translated 4 units to the left, resulting in ΔA'B'C'.

Which statement about ∠A' is true?

• ∠A' = ∠A

• ∠A' < ∠A

• ∠A' > ∠A

• ∠A' = ∠A + ∠B

Alicia is flying a kite. The kite string is pulled out to a length of 260 feet, and the point where Alicia is holding the string is 240 feet from the point on the ground directly below the kite, as shown in the diagram.

How high is the kite, in feet, above the ground?

• 20 feet

• 100 feet

• 120 feet

• 354 feet

Function A is a linear function. Function A is represented by the equation

4x + 3y =15. Function B is also a linear function. The table given shows some of the ordered pairs for Function B.

Which statement(s) are true?

• The rate of change for Function A is greater than the rate of change for Function B.

• The rate of change for Function A is less than the rate of change for Function B.

• The rate of change for Function A is equal to the rate of change for Function B.

• The y-intercept for Function A is greater than the y-intercept of Function B.

• The y-intercept for Function A is equal to the y-intercept of Function B.

A system of two linear equations in two variables is given below.

y = ⅙x - 3

y = -5 - ⅙x

• The given system has no solution.

• The solution to the given system is (-6, -4).

• The solution to the given system is (6, -6).

• The given system has infinitely many solutions.

Which type of function is represented by the equation 12y = 4(x - 5)?

• Linear

• Quadratic

• Cubic

• Exponential

Cone A has a volume of 63π cm³ and a radius of 4 cm.

Cone B has a volume of 144π cm³ and a radius of 3 cm.

How many times taller is Cone B than Cone A?

ΔJKL is reflected across the x-axis on a coordinate plane, resulting in ΔJ'K'L'.

If the measure of ∠J is 50 degrees, what is the measure of ∠J'?

Which point shows the approximate location of √13?

• Point A

• Point B

• Point C

• Point D