Here are the steps required for Graphing Parabolas in the Form y = a(x – h)2 + k:

Step 1: Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k).
Step 2: Find the y-intercept. To find the y-intercept let x = 0 and solve for y.
Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).
Step 4: Graph the parabola using the points found in steps 1 – 3.

Example 1 – Graph: Example 1

Step 1: Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k).
Step 1
Step 2: Find the y-intercept. To find the y-intercept let x = 0 and solve for y.
Step 2
Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).
Step 3
Step 4: Graph the parabola using the points found in steps 1 – 3.
Step 4

Example 2 – Graph: Example 2

Step 1: Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k).
Step 1
Step 2: Find the y-intercept. To find the y-intercept let x = 0 and solve for y.
Step 2
Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).
Step 3
Step 4: Graph the parabola using the points found in steps 1 – 3.
Step 4

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Example 3 – Graph: Example 3

Step 1: Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k).
Step 1
Step 2: Find the y-intercept. To find the y-intercept let x = 0 and solve for y.
Step 2
Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).
Step 3
Step 4: Graph the parabola using the points found in steps 1 – 3.
Step 4

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Example 4 – Graph: Example 4

Step 1: Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k).
Step 1
Step 2: Find the y-intercept. To find the y-intercept let x = 0 and solve for y.
Step 2
Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form). In this case, we end up with the square root of a negative number, so there are no x-intercepts.
Step 3
Step 4: Graph the parabola using the points found in steps 1 – 3.
Step 4

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