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The quadratic function in vertex form is .
Solution:
The equation of a quadratic in vertex form is .
where (h, k) are the coordinates of the vertex and "a" is a multiplier.
Here (h, k) = (5, –2)
Substitute this in the vertex form.
– – – – (1)
Passes through the point (7, 0).
Here x = 7 and y = 0.
Substitute this in equation (1), we get
Add 2 on both sides.
2 = 4a
Divide 2 on both sides, we get
Substitute the value of a in equation (1),
The quadratic function in vertex form is .