SOLUTION: Consider the following function f(x)=-4x^2-8x-3 a. Describe the transformation we would apply to the basic function g(x)=x^2, to obtain f. b. Give the vertex and axis of s

Question 949254: Consider the following function
f(x)=-4x^2-8x-3
a. Describe the transformation we would apply to the basic function g(x)=x^2, to obtain f.
b. Give the vertex and axis of symmetry.

My answer after graphing it.
a. The graph of a f(x)=-4x^2-8x-3 is a reflection in the x axis, a horizontal shift of 1 unit to the left, and a vertical shift of 1 unit upward of the graph of g(x)=x^2
The graph of a f(x)=-4x^2-8x-3 is a vertical stretch of the graph of g(x)=x^2 by a factor of 4.
b. The vertex is (-1,1) and the axis of symmetry is -1.
This doesn't look right and asking for assistance. Thanks.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
f is in general form and g is in either standard or general form. Put f into standard form to determine the transformation to change g into f.

Complete the Square for f(x).

Continue putting into standard form.

Moving or changing g would go like this:
Reflect in the x-axis,
Multiply by 4,
Move 1 unit up,
Move 1 unit to the left.

#b is correct. I believe #a is also correct.
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