QuestionFind the vertex of the parabola defined by . What are the coordinates?
Studdy Solution
STEP 1
Assumptions1. The equation given is of a parabola in the form where , , and are constants. . The vertex of a parabola in this form is given by the point where is the function of the parabola.
STEP 2
First, we need to find the x-coordinate of the vertex. We can do this by using the formula .
STEP 3
Now, plug in the given values for and to calculate the x-coordinate of the vertex.
STEP 4
Calculate the x-coordinate of the vertex.
STEP 5
Now that we have the x-coordinate of the vertex, we can find the y-coordinate by substituting into the equation of the parabola.
STEP 6
Calculate the y-coordinate of the vertex.
The vertex of the parabola is .
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