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Which of the following is the equation for the graph?

Which of the following is the equation for the graph?-example-1
User Rudi
by
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1 Answer

24 votes
24 votes

The equation of the graph would be a quadratic equation. The vertex form of a quadratice equation is expresses as

y = a(x - h)^2 + k

where

h and k are the x and y coordinates of the vertex(bottom) of the graph. Lookong at the vertex of the graph,

x = - 3 and y = 1

Thus, h = - 3 and k = 1

Substituting h = - 3 and k = 1 into the vertex form equation, it becomes

y = a(x - - 3)^2 + 1

y = a(x + 3)^2 + 1 ---------------------1

We would pick corresponding x and y values from the curve. We have

when x = - 2, y = 3

Substituting x = - 2 and y = 3 into equation 1, we have

3 = a(- 2 + 3)^2 + 1

3 = a(1)^2 + 1

3 = a + 1

a = 3 - 1 = 2

Substituting a = 2 into equation 1, we have

y = 2(x + 3)^2 + 1

The correct option is B

User Zira
by
2.1k points