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Graph the quadratic function f(x)= -2x^2 + 6x - 2

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3 votes
The answer is........
Graph the quadratic function f(x)= -2x^2 + 6x - 2-example-1
User Mustahsan
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5 votes

Answer:

see below for a graph

Explanation:

The function can be rewritten to vertex form to aid in graphing.

f(x) = -2(x^2 -3x) -2

f(x) = -2(x^2 -3x + 2.25) -2 +4.50 . . . . . . add (3/2)^2 inside parentheses and subtract an equivalent amount outside parentheses

f(x) = -2(x -1.5)^2 +2.5

The vertex is located at (1.5, 2.5), and the vertical scale factor is -2. The point (3, -2) will be another point on the graph, along with the y-intercept (0, -2) and the vertex (1.5, 2.5).

Graph the quadratic function f(x)= -2x^2 + 6x - 2-example-1
User Chris Pratt
by
5.4k points