Question

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma five and turning at the point two comma one and contin Courtesy of Texas Instruments (2 points) y = (x - 2)2 + 1 y = (x - 1)2 + 2 y = (x + 2)2 + 1 y = (x + 2)2-1

Answer 1

The correct answer is A, "y = (x - 2)² + 1"

Explanation:

I just completed the test and got full credit using this option.

Answer 2

y = (x - 2)² + 1

Explanation:

Gnerela equation of a parabola in vertex form:

y = a(x - h)² + k

where (h, k) is the vertex

From the description of the graph:

• the parabola passes through (0,5)

• the parabola has a vertex at (2,1)

Replacing into the general equation:

y = a(x - 2)² + 1

5 = a(0 - 2)² + 1

5 - 1 = a*4

4/4 = a

1 = a

Then, the equation is: y = (x - 2)² + 1