Question

If you apply the changes below to the quadratic parent function, f(x) = x2², what is the equation of the new function? Shift 3 units right. Vertically stretch by a factor of 4. • Reflect over the x-axis. O A. g(x) = 4x² + 3 OB. g(x) = -4(x - 3)² O C. g(x) = -4(x+3)² O D. g(x) = (-4x - 3)²​

Answer 1

• y=x²

Vertically strech by 4 means it's should be multiplied with -a and a =4

So

• y=-4x²

Shifted 3 units right means change in x

So

it should be

• -4(x-3)²

Option B

Answer 2

Answer:

B. g(x) = -4(x - 3)²

Step-by-step explanation:

Given :

• f(x)  = x²

On shifting 3 units right :

• g(x) = (x - 3)²

On stretching vertically by a factor of 4 :

• g(x) = 4(x - 3)²

On reflecting over the x-axis :

• g(x) = -4(x - 3)²