Question

The graph function g(x) is a transformation of the graph of function f(x)=x^2. g(x)=

A)2x^2+3
B)-2x^2-3
C)-1/2x2-3
D)1/2x^2-3

Answer 1

A)2x^2+3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2 and then shift the entire resulting graph up by 3 units. The graph will still look like a parabola that opens up.

B)-2x^2-3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2, reflect the resulting graph in the x-axis, and then shift the entire resulting graph down by 3 units. The graph will still look like a parabola that opens down.

Answers to C and D are very similar, except that we compress the graph of x^2 v ertically by a factor of (1/2).

None of these A, B, C, D is wrong.