Consider h(x) = 3x^2 +2x - 8 Identify its vertex and y-intercept.
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Algebra 2

Vertex:

Y-intercept:

Step-by-step explanation:

The x-coordinate of the vertex would be and the y-coordinate of the vertex is whatever the output is given the value of x.

Therefore, the x-coordinate of the vertex is

This means the y-coordinate of the vertex is

So, the vertex is

The y-intercept of a function is the y-value at which x=0, or the y-value when the function crosses the y-axis. Therefore, if we plug x=0 into the function, we see that , so our y-intercept is -8 or (0,-8).

I attached a graph below to help you visualize the vertex and y-intercept given the function.

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