The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C

1. Start with the parent function f(x) = x^2 .
2. Translate the function seven units to the left:
y = (x + 7)^2 .
3. Then translate the function nine units up:
y = (x + 7)^2 + 9 , which is the vertex form.
4. Expand the vertex form to convert it into standard form:
y = (x + 7)^2 + 9
y = (x^2 + 14x + 49) + 9
y = x^2 + 14x + 58 , which is the standard form.

Answer in Vertex Form: y = (x + 7)^2 + 9
Answer in Standard Form: y = x^2 + 14x + 58