Write the equation in vertex form: Vertex is (1.-3) and passes through the point (-1,5)

y = 2(x - 1)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, - 3), thus

y = a(x - 1)² - 3

To find a substitute (- 1, 5) into the equation

5 = a(- 1 - 1)² - 3

5 = (- 2)²a - 3 ( add 3 to both sides )

8 = 4a ( divide both sides by 4 )

a = 2

Thus

y = 2(x - 1)² - 3 ← in vertex form

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step-by-step explanation: