SOLUTION: Find a formula for the quadratic function whose graph has its vertex at (3,8) and its y-intercept at y=2

Algebra.Com
Question 1146996: Find a formula for the quadratic function whose graph has its vertex at (3,8) and its y-intercept at y=2
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!


substitute for (0,2):





Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The location of the vertex is at
when the equation is:

-------------------------------
The vertex is at ( 3, 8 )


-------------------------------
Also:


-------------------------------
The y-intercept is at ( 0, 2 )



------------------------------
By substitution:





and



-----------------------------
The equation is:

------------------------------
check:
( 3,8 )



OK
--------
Here's the plot:


RELATED QUESTIONS

Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of (answered by lwsshak3)
Find a possible formula for the quadratic function whose graph has vertex (10,2) and y... (answered by josgarithmetic)
Find a formula for the quadratic function whose graph has y-intercept at y=13 and zeros... (answered by Boreal)
Find a formula for the quadratic function whose graph has y-intercept at y=15 and zeros... (answered by ikleyn)
Find a formula for the quadratic function whose graph has y-intercept at y=15 and zeros... (answered by josgarithmetic)
Find a formula for a quadratic function whose graph has x-intercepts at (1, 0) and (5,... (answered by josgarithmetic)
Find the rule of the quadratic function whose graph has its vertex at (-3, -2) and passes (answered by josgarithmetic,MathTherapy,ikleyn)
Find a possible formula for the quadratic function whose graph has x intercepts 4 and 8... (answered by Fombitz)
Find a possible formula for the quadratic function whose graph has x-intercepts 4 and 8... (answered by ankor@dixie-net.com)