Can you identify the horizontal shift value (h) in the graphs below? For each of the following graphs, identify the value of h in the function \(\small\mathsf{ f(x) = a(x-h)^{2} + k }\)
Practice 1
Practice 2
Practice 3
Practice 4
\(\small\mathsf{ h = 2, f(x) = (x-2)^{2} }\)
This graph is shifted 2 units to the right of the parent function f(x) = x2, so it has an h value of 2.
\(\small\mathsf{ h = 0, f(x) = -3(x+0)^{2} + 5 }\)
This graph is not shifted horizontally from the parent function f(x) = x2, so it has an h value of 0.
\(\small\mathsf{ h = -3, f(x) = 0.2(x+3)^{2} - 2 }\)
This graph is shifted 3 units to the left of the parent function f(x) = x2, so it has an h value of -3.
\(\small\mathsf{ h = -4, f(x) = -1(x+4)^{2} + 1 }\)
This graph is shifted 4 units to the left of the parent function f(x) = x2, so it has an h value of -4.
