Question 280229
{{{f(x) = x^2}}}
To avoid confusion I'm going to use a different name for the second function:
{{{g(x) = -4 - 3x^2}}}
Now I'll rewrite g(x) in a form which we can use to find the answer:
{{{g(x) = (-1)(3)x^2 + (-4)}}}
Since {{{f(x) = x^2}}}, this becomes:
{{{g(x) = (-1)(3)(f(x)) + (-4)}}}
Looking at g(x) in this way we can see what transformations are being applied to f(x) to turn it into g(x):<ul><li>The multiplication of f(x) by 3 means a vertical stretch by a factor of 3.</li><li>The multiplication of f(x) by -1 means a vertical "flip" (i.e. a reflection in the x-axis)</li><li>The addition of -4 means a downward shift of 4 units.</li></ul>