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Identify the vertex and the y intercept of the graph of the function y=0.5(x-3)^2

2 Answers

4 votes
y = 0.5(x - 3)^2
This is a parabola (2nd power).
The vertex is (3,0).
The y intercept will be 4.5
If you put zero in for x, (because it is on the y-axis), the value will be 4.5.
User Sean Kinsey
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7.0k points
5 votes

Answer:

The vertex of the function is (3,0).

The y-intercept is (0,4.5).

Explanation:

Given : Function
y=0.5(x-3)^2

To find : Identify the vertex and the y intercept of the graph of the function?

Solution :

The given function is a equation of a parabola.

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

On comparing with given equation,

h = 3 and k = 0,

So, The vertex of the function is (h,k) = (3,0)

To find the y- intercept,

Put x = 0 in the function,


y=0.5(0-3)^2


y=0.5* 9


y=4.5

So, The y-intercept is (0,4.5).

User Timothy Jannace
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6.1k points