SOLUTION: Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. vertex (-1, 3); point (4, 53) B) f(x) = 2(x + 1)2 + 3 C) f(x) = (x

Question 201683: Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
vertex (-1, 3); point (4, 53)
B) f(x) = 2(x + 1)2 + 3
C) f(x) = (x + 1)2 + 3

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Rough sketch shows a potential y parabola pointed up
.
standard form, (y-k) = A (x-h)^2
.
subst vertex ( -1,3)
.
(y-3) = A (x+1)^2
.
subst (4,53)
.
(53-3) =A(4+1)^2
.
50 = A * 25
.
A=2
.
EQN ,,,, (y-3) = 2(x+1)^2
.
This matches answer (B)
.

RELATED QUESTIONS
Find the rule of a quadratic function whose graph has the given vertex and passes through (answered by rothauserc,josmiceli)

find the quadratic function that has the indicated vertex and whose graph passes through... (answered by josgarithmetic)

Find the quadratic function y=f(x) that has the given vertex and whose graph passes... (answered by josgarithmetic)

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 an equation of the parabola that has the indicated vertex and whose graph passes... (answered by Fombitz)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by MathLover1)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by FrankM)

Write the standard form of the quadratic function that has the indicated vertex and whose (answered by solver91311)