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

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Answer to a math question 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

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Neal

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105 Answers

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

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