Given that E(x)= 3x^2-4x+7 find U(x) that horizontally shrinks by a factor of 0.5, reflects over the y-axis, and shifts it up 3

Answer 1

E(x) = 3x²-4x+7 Horizontal shrink by 0.5

U(x) = 3(2x)²-4(2x)+7 Reflects over the y axis

U(x) = 3(-2x)²-4(-2x)+7 Shifts up 3 units

U(x) = 3(-2x)²-4(-2x)+7+3 Simplify

U(x) = 12x²+8x+10