Answer:
See below
Step-by-step explanation:
<u>Part A</u>
Remember that x-intercepts are located where y=0:
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<u>Part B</u>
Since the leading coefficient, -16, is negative, the parabola will open downward, making the vertex a maximum. We can determine the x-coordinate of the vertex using and plug it into the function to find the y-coordinate:
Now we find the y-coordinate given the x-coordinate:
Therefore, the coordinates of the vertex are .
<u>Part C:</u>
Notable points of a quadratic function include its x-intercepts, y-intercept, and vertex. Plotting these points on a graph help to visualize what the resulting graph of the function looks like. I've attached a graph with the function and the notable points for you to see.
