Question 1

Which of the following is the correct amplitude of the function $$y = -0.4 \cos x$$?

Accepted Answer

$$0.4$$

Question 2

What is the period of the function $$y = -0.4 \cos x$$?

Accepted Answer

$$2\pi$$

Question 3

At which $$x-$$values does the function $$y = -0.4 \cos x$$ attain its maximum value?

Accepted Answer

$$x = \pi$$

Question 4

What is the $$y-$$intercept of the function $$y = -0.4 \cos x$$?

Accepted Answer

$$-0.4$$

Question 5

Which of the following statements is true about the graph of $$y = -0.4 \cos x$$?

Accepted Answer

The graph is a reflection of $$y = 0.4 \cos x$$ over the $$x-$$axis.

Question 6

At which $$x-$$values does $$y = -0.4 \cos x$$ cross the $$x-$$axis within one period?

Accepted Answer

$$x = \frac{\pi}{2}, \frac{3\pi}{2}$$

Question 7

What is the minimum value of $$y = -0.4 \cos x$$?

Accepted Answer

$$0.4$$

Question 8

If the function $$y = -0.4 \cos x is $$shifted upward by $$0.2$$ units, what is the new equation?

Accepted Answer

$$y = -0.4 \cos x + 0.2$$

Question 9

Which of the following best describes the effect of the negative sign in $$y = -0.4 \cos x$$?

Accepted Answer

It reflects the graph over the $$x-$$axis.

Question 10

What is the value of $$y$$ when $$x = \frac{3\pi}{2}$$ for the function $$y = -0.4 \cos x$$?

Accepted Answer

$$0$$

College Algebra Review: Equations, Functions, and Graphs

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