Find the equation of a quadratic function with a maximum

signokodo7h

signokodo7h

Answered question

2021-12-04

Find the equation of a quadratic function with a maximum value at (2, 5) and vertical intercept of (0, 4)

Answer & Explanation

George Burge

George Burge

Beginner2021-12-05Added 16 answers

Step 1
Need to find Quadratic equation
y=ax2+bx+c (Quadratic form)
y=a(xh)2+k (Standard form)
Sub (2, 5)=(h, k) in equation,
y=a(x2)2+5
Sub (0, 4) in above equation
4=a(02)2+5
4=4a+5a=454=14
So the equation is
y=14(x2)2+5
=14(x24x+4)+5
=x24+x1+5=x24+x+4
y=x2+4x+164 Simplified form
y=14(x2)2+5
As question 3 is already solved, I have solved only question 4.

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