Standard Form of Quadratic Graphs
krisjaylen
Complete x-y table for each quadratic function. You will need to calculate the vertex of each function, complete the table, and match the equation with the appropriate graph. You will not use all graphs.
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| 1. | y = -2x2 + 8x – 6 | Graph: |
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| Vertex: ( , ) |
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| Show work here: |
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| Complete the x-y table here: |
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| x | Work | y |
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| No work because this is the vertex. |
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| What are the x-intercepts of this function? ( , 0) and ( , 0) |
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| What is the y-intercept of this function? (0, ) |
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| 2. | f(x) = x2 + 2x – 3 | Graph: |
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| Vertex: ( , ) |
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| Show work here: |
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| Complete the x-y table here: |
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| x | Work | y |
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| No work because this is the vertex. |
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| What are the x-intercepts of this function? ( , 0) and ( , 0) |
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| What is the y-intercept of this function? (0, ) |
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| 3. | f(x) = x2 – 8x + 13 | Graph: |
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| Vertex: ( , ) |
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| Show work here: |
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| Complete the x-y table here: |
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| x | Work | y |
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| No work because this is the vertex. |
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| What are the x-intercepts of this function? ( , 0) and ( , 0) [Estimate] |
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| What is the y-intercept of this function? (0, ) |
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| 4. | f(x) = -3x2 – 18x – 24 | Graph: |
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| Vertex: ( , ) |
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| Show work here: |
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| Complete the x-y table here: |
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| x | Work | y |
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| No work because this is the vertex. |
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| What are the x-intercepts of this function? ( , 0) and ( , 0) |
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| What is the y-intercept of this function? (0, ) |
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| 5. | y = 2x2 – 8x + 7 | Graph: |
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| Vertex: ( , ) |
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| Show work here: |
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| Complete the x-y table here: |
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| x | Work | y |
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| No work because this is the vertex. |
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| What are the x-intercepts of this function? ( , 0) and ( , 0) [Estimate] |
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| What is the y-intercept of this function? (0, ) |
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| 6. | y = -x2 + 8x – 15 | Graph: |
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| Vertex: ( , ) |
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| Show work here: |
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| Complete the x-y table here: |
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| x | Work | y |
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| No work because this is the vertex. |
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| What are the x-intercepts of this function? ( , 0) and ( , 0) |
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| What is the y-intercept of this function? (0, ) |
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Given each graph, describe how the new graph was transformed from the parent graph of y = x2.
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| Describe here: |
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| 8. |
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| Describe here: |
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