One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown below

Mathematics

2 answers:

jeyben [28]3 years ago

7 0

We are comparing maxima. From the graph we know that the max of one graph is +2 at x = -2. What about the other graph? Need to find the vertex to find the max.

Complete the square of <span>h(x) = -x^2 + 4x - 2:

</span>h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4) -2+4
= -(x-2)^2 + 2 The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.

The 2 graphs have the same max, one at x = -2 and one at x = + 2.

ale4655 [162]3 years ago

7 0

Answer:

Functions g and h have the same maximum of 2.

Step-by-step explanation:

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