Question

If you apply the changes below to the quadratic parent function, f(x) = x²,what is the equation of the new function?Shift 1 unit left.• Vertically stretch by a factor of 3.Reflect over the x-axis.A. g(x) = -3(x + 1)²IRMITOB. g(x) = -3x² - 1OC. g(x)= (-3x+1)²OD. g(x) = -3(x-1)²

Answer 1

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SOLUTION

Answer;

Explanation;

(1)

To shift a function left, add inside the function's argument: f (x + b) gives f (x) shifted b units to the left.

(2)

Stretching f(x) vertically by a factor of 3 will result to h(x) being equal to 3 times f(x). Hence, h(x) = 3(x).

(3)

To reflect an equation over the x-axis, simply multiply the output variable by negative one: y=f(x)→y=−f(x) y = f ( x ) → y = − f ( x ) .