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Warm-Up: Use what you know about parabolas to write an equation for each of the parabola descriptions: a. A parabola opening upward, shifted 8 units right, and 5 units down b. A parabola with a stretch factor of 10, sitting with its vertex on the x-axis at x = -6 c. A downward-opening parabola with vertex (-7, -2) and a vertical shrink of 0.6 Rewriting in Graphing Form: In lesson 10.2, you use the method of averaging the intercepts to change the equation of a parabola from standard form to the graphing form by finding intercepts and averaging them to find the x-value of the vertex. Next, you substituted to find the y-value and used the coordinates of the vertex for h and k. What can you say about a parabola that cannot be factored or that does not cross the x-axis? How can you find the equation in graphing form? Previously, we learned how to complete the square for quadratics and this skill can also help you write the graphing form for a parabola. 1. In this investigation, you will compare two methods of changing a quadratic equation from standard form to graphing form. a. Write the equation of the parabola y = x^2 - 2x - 15 in graphing form using two methods. Use the intercepts. Then, use the method of completing the square.

          Warm-Up:
Use what you know about parabolas to write an equation for each of the parabola descriptions:
a. A parabola opening upward, shifted 8 units right, and 5 units down
b. A parabola with a stretch factor of 10, sitting with its vertex on the x-axis at x = -6
c. A downward-opening parabola with vertex (-7, -2) and a vertical shrink of 0.6
Rewriting in Graphing Form:
In lesson 10.2, you use the method of averaging the intercepts to change the equation of a parabola from standard form ______ to the graphing form ______ by finding intercepts and averaging them to find the x-value of the vertex. Next, you substituted to find the y-value and used the coordinates of the vertex for h and k.
What can you say about a parabola that cannot be factored or that does not cross the x-axis? How can you find the equation in graphing form? Previously, we learned how to complete the square for quadratics and this skill can also help you write the graphing form for a parabola.
1. In this investigation, you will compare two methods of changing a quadratic equation from standard form to graphing form.
a. Write the equation of the parabola y = x^2 - 2x - 15 in graphing form using two methods. Use the intercepts. Then, use the method of completing the square.

Warm-Up:
Use what you know about parabolas to write an equation for each of the parabola descriptions:
a. A parabola opening upward, shifted 8 units right, and 5 units down
b. A parabola with a stretch factor of 10, sitting with its vertex on the x-axis at x = -6
c. A downward-opening parabola with vertex (-7, -2) and a vertical shrink of 0.6
Rewriting in Graphing Form:
In lesson 10.2, you use the method of averaging the intercepts to change the equation of a parabola from standard form to the graphing form by finding intercepts and averaging them to find the x-value of the vertex. Next, you substituted to find the y-value and used the coordinates of the vertex for h and k.
What can you say about a parabola that cannot be factored or that does not cross the x-axis? How can you find the equation in graphing form? Previously, we learned how to complete the square for quadratics and this skill can also help you write the graphing form for a parabola.
1. In this investigation, you will compare two methods of changing a quadratic equation from standard form to graphing form.
a. Write the equation of the parabola y = x^2 - 2x - 15 in graphing form using two methods. Use the intercepts. Then, use the method of completing the square.

Added by Krystal R.

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