Question

question 9 of 10

each equation given below describes a parabola. which statement best compares their graphs?

(x = 2y^2) \t (x = 8y^2)

a. both parabolas open to the right, and (x = 2y^2) is wider than (x = 8y^2).
b. both parabolas open to the right, and (x = 8y^2) is wider than (x = 2y^2).
c. both parabolas open upward, and (x = 8y^2) is wider than (x = 2y^2).
d. both parabolas open upward, and (x = 2y^2) is wider than (x = 8y^2).

Explanation:

Determine the orientation of the parabolas

$$
LATEXBLOCK0
$$

Compare the width of the parabolas

$$
LATEXBLOCK1
$$

Answer:

• A. Both parabolas open to the right, and \(x = 2y^2\) is wider than \(x = 8y^2\). (Correct answer)
• B. Both parabolas open to the right, and \(x = 8y^2\) is wider than \(x = 2y^2\).
• C. Both parabolas open upward, and \(x = 8y^2\) is wider than \(x = 2y^2\).
• D. Both parabolas open upward, and \(x = 2y^2\) is wider than \(x = 8y^2\).