Question

If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be

a. h(x) = 4(x-9)^2-17
b. h(x) = 4(x-7)^2+16
c. h(x) = 4(x-17)^2-9
d. h(x) = 4(x+9)^2-17

Answer 1

A

Explanation:

A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.