Answer:
The vertex of the quadratic function is (-1,7).
Step-by-step explanation:
The way to find the vertex is by first finding the AOS, the acronym for the "axis of symmetry".
The formula for the AOS is -B/2A, where B is the variable with "x" and A is the variable with "x^2" in the standard quadratic formula ax^2 + bx + c.
In the given quadratic equation, B would equal 2 and A would equal 1.
So now the next step is to substitute.
-2/2 * 1.
2 * 1 = 2. -2/2 = -1.
So -1 is the x-coordinate of the vertex.
Now let's find the y-coordinate.
We can find the y-coordinate by substituting -1 into the x-values of the equation.
-1^2 + 2 * -1 + 8.
Follow the rules of PEMDAS to get the correct answer.
First, simplify the exponent -1^2. The result is the same as -1 * -1, which is 1.
Next, simplify 2 * -1. The result is -2.
Then, add 1 and -2. The answer will be -1.
Finally, add -1 and 8 to get the y-coordinate 7.
The ordered pair of the vertex is (-1,7).
Hope this helps!
