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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89 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

2. Translate the function seven units to the left:

3. Then translate the function nine units up:

4. Expand the vertex form to convert it into standard form:

Answer in Vertex Form:

Answer in Standard Form:

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