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H(x)=0.5(x+4)^2+1 graph

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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.

User Surya Matadewa
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