Consider the following function. $g(x) = -x^2 + 8x - 12$ Step 1. Find the vertex. Answer: Step 2. Find the x-intercepts, if any. Express the intercept(s) as ordered pair(s). How many x-intercepts does this function have? A) None B) One C) Two Step 3. Find two points on the graph of the parabola other than the vertex and x- intercepts.
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In this case, $$a = -1$$, $$b = 8$$, and $$c = -12$$. Therefore, the x-coordinate of the vertex is $$(-8/(2*-1)) = 4$$. The y-coordinate of the vertex is $$f(4) = -(4)^2 + 8(4) - 12 = 4$$. So, the vertex is $$(4, 4)$$. Show more…
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