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:
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 2 – Graph:
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. |
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Example 3 – Graph:
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. |
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Example 4 – Graph:
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). In this case, we end up with the square root of a negative number, so there are no x-intercepts. | |
Step 4: Graph the parabola using the points found in steps 1 – 3. |