Use the vertex (1, 6) and a point on the graph (6, -19) to find the equation of

glasskerfu

glasskerfu

Answered question

2021-11-06

Use the vertex (1, 6) and a point on the graph (6, -19) to find the equation of quadratic function, f(x)
Fx=

Answer & Explanation

oppturf

oppturf

Skilled2021-11-07Added 94 answers

Step 1
Given:
Vertex (1, 6)
Point on the graph (6, -19)
Step 2
Vertex (1, 6)
Point on the graph (6, -19)
First, we recall a function
f(x)=a(xh)2+k, which will give us vertex (h, k)
So the function we are loking for should look like
f(x)=a(x1)2+6
and sin ce the parabola passes through (6, -19)
19=a(61)2+6
a(5)2=196
a=2525
a=1
So, f(x) becomes
f(x)=1(x1)2+6
f(x)=6(x1)2

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