Question

The vertex form of the equation of a parabola is y = (x + 7)2 + 13. What is the standard form of the equation? O A. y = 7x2 + 14x+ 62 O B. y = x2 + 43x + 32 O c. y = x2 + 7x + 13 O D. y= x2 + 14x + 62​

Answer 1

y = x^2 + 14x + 62

Explanation:

y = (x + 7)^2 + 13 is to be rewritten in the form y = ax^2 + bx + c.

Note: Use " ^ " to denote exponentiation.

Expand y = (x + 7)^2, holding the constant term to be added on later:

y = x^2 + 14x + 49 + 13

Combining the constants, we get:

y = x^2 + 14x + 62 (which matches Answer D).