Question

If you apply the changes below to the quadratic parent function, Ax) = x2,

what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the xaxis.

Answer 1

Please use "^" to denote exponentiation.

Start with f(x) = x^2. Shifting the graph of f(x) 1 unit to the left results in

g(x) = (x+1)^2.

Vertically stretching the graph of g(x) by a factor of 3 results in

h(x) = 3(x+1)^2.

Reflecting h(x) over the x-axis results in k(x) = -3(x+1)^2

Explanation: