Question

question 4 of 10

the standard form of the equation of a parabola is (x = y^2 + 10y + 22).
what is the vertex form of the equation?

a. (x = (y + 5)^2 + 12)
b. (x = (y + 10)^2 + 2)
c. (x = (y + 5)^2 - 3)
d. (x = (y + 10)^2 - 78)

Explanation:

Complete the square for the quadratic expression in terms of y

$$
LATEXBLOCK0
$$

Simplify to vertex form

$$
LATEXBLOCK1
$$

Answer:

• A. \(x = (y + 5)^2 + 12\)
• B. \(x = (y + 10)^2 + 2\)
• C. \(x = (y + 5)^2 - 3\) (Correct answer)
• D. \(x = (y + 10)^2 - 78\)