Question

Find the value of a. Use the point (2, 5).
The vertex is ( 1 , 2 ), so h = -1 and k = 2 .

Answer 1

Answer:

a = 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

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

Here (h, k ) = (1, 2 ) , then

y = a(x - 1)² + 2

To find a substitute (2, 5 ) into the equation

5 = a(2 - 1)² + 2 ( subtract 2 from both sides )

3 = a(1)² = a

Then a = 3