SOLUTION: Write a quadratic function in starndard form whose graph passes through the given points. (USE Stat) (-4, -7), (-3,3), (3, -21) Find the maximum heights. What is the app

Question 970773: Write a quadratic function in starndard form whose graph passes through the given points. (USE Stat)
(-4, -7), (-3,3), (3, -21)
Find the maximum heights.

What is the approximate difference in the maximum height for the parabolas?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
With these three points and quadratic regression,
a=-2
b=-4
c=9
-2x^2-4x+9 = y(x)
(-1,10.8) is approximate
vertex is at x=-1,11 by the formula

Calculator:
Go to STAT and choose 1 Edit. Put the x values in L1, hitting enter after each one, then put the y values in L2, doing the same. Then second MODE, to get out.
Got to STAT CALC and hit 5, for quadratic regression. Then do 2nd 1 COMMA 2nd 2, COMMA then VARS Y-VARS and hit 1. That will give you the a, b, and c.
To graph, go to 2nd Y= for STAT PLOT and for Plot 1 hit enter
Scroll down to scatter plot and hit enter
Then scroll down to x-list and hit L1
For y-list hit L2
For Mark hit enter
Then graph, using the appropriate window.
RELATED QUESTIONS
Write a quadratic function in standard form whose graph passes through the given points.... (answered by jim_thompson5910,Boreal)

Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)

For the following problem, find the quadratic function y=f(x) that has the given... (answered by math_tutor2020)

For the following problem, find the quadratic function y=f(x) that has the given... (answered by MathLover1)

find the quadratic function y=a(x-h)^2 whose graph passes through these points: (9,-12)... (answered by TimothyLamb,ikleyn)

how do you write a quadratic function in standard form whose graph passes through the... (answered by stanbon)

Find a linear equation whose graph passes through the given points. Write the equation... (answered by rfer)

Find the quadratic function y=a(x-h)^2 whose graph passes through the given points... (answered by KMST)

Find the quadratic function y=f(x) whose graph has a vertex (-3,2) and passes (answered by ewatrrr,MathLover1,ikleyn)