Answer:
Explanation:
Step 1: Find the vertex which is the opposite sign of the constant inside
the parenthesis and the constant on the far end.
h(x) = 0.5(x+4)^2+1 Vertex: (-4,1)
Step 2: Plot the y-intercept which is the constant on the far end
y-intercept: (0,1)
Step 3: Substitute x = -6, -5, -3, -2 to find each y-coordinate
h(x) = 0.5(-6+4)^2+1 = 2.125
h(x) = 0.5(-5+4)^2+1 = 1.125
h(x) = 0.5(-3+4)^2+1 = 2.125
h(x) = 0.5(-2+4)^2+1 = 1.125
Step 3: Plot the points you just found
(-6, 2.125) (-5, 1.125)
(-3, 2.125) (-2, 1.125)
Step 4: Now, connect the dots forming a parabola which is a u-shape that
opens up because of being positive.