Respuesta :

altavistard
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

Equation of the new quadratic  function is equals to -3(x+1)².

What is quadratic function?

"Quadratic function is a polynomial which has highest degree 2 and can be written in the form ax²+bx+c=0."

According to the question,

Given

Quadratic parent function,

f(x) = x²

As per the conditions given

Shift 1 unit left

f(x+1) =(x+1)²

Vertically stretch by a factor of 3

New function = 3(x+1)²

Reflect over the x-axis

Equation of new function = -3(x+1)²

Hence, equation of the new quadratic function is equals to -3(x+1)².

Learn more about quadratic parent function here

https://brainly.com/question/12980287

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