SOLUTION: Hello there, would you help me with this problem? Write an equation in standard form of the parabola that has vertex (-7, -6) and passes through the point (4, 236). Using the

Question 914453: Hello there, would you help me with this problem?
Write an equation in standard form of the parabola that has vertex (-7, -6) and passes through the point (4, 236).
Using the average rate of change equation, I got the slope of 22 but am unsure of how to find the rest of the equation.
Thank you!

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Slope is unimportant to the description and question.

Standard Form for the equation of a parabola follows ;
The vertex is (h,k).

The description gives (h,k), so these are easily substituted into the basic equation form. The other given point allows solving for the factor, "a". You can do this symbolically and then substitute according to the two given points to evaluate "a". Using "a", h, and k, just fill-in the standard equation for the parabola.

A couple of useful steps:

RELATED QUESTIONS
Hi there, I'm stuck on this problem, could you help me with it? Directions: Write an... (answered by lwsshak3)

Write an equation for the parabola in standard form with a vertex of (-1,... (answered by josmiceli)

Hello I need help on this one problem. How do you write a quadratic function in... (answered by scott8148)

Write an equation in standard form of the parabola that has vertex (-4, -8) and passes... (answered by josgarithmetic)

write an equation in standard form of the parabola that has the same shape as the graph... (answered by josgarithmetic)

write the equation in standard form of a parabola with a vertex of (-3,6) that goes... (answered by lwsshak3)

Hello there, I have been stuck on a math problem for hours and have no idea of how to... (answered by ikleyn)

write the equation in both vertex form and standard form for a parabola that has a vertex (answered by josgarithmetic)

Hi! I'm working on some Conic Section problems, and do ok when they are centered at zero. (answered by venugopalramana)