Find the equation of the quadratic function f whose graph

gabioskay7

gabioskay7

Answered question

2021-11-27

Find the equation of the quadratic function f whose graph is shown below. (5, 2) (7, 10)

Answer & Explanation

Wasither1957

Wasither1957

Beginner2021-11-28Added 17 answers

Step 1
The quadratic form of a cuvre in vertex form is represented by
y=a(xh)2+k
where (h, k) is the vertex of curve
Step 2
From above diagram vertex of curve is (5, 2) so h=5 and k=2
Putting in curve equation
y=a(x5)22
as the point (7, 10) lie on the curve putting point value in the curve to find value of a
10=a(75)22
10=4a2
a=2
So, the quadratic equation of function f is
y=2(x5)22

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