## y=f(x)= -2x^2+12x-10: find vertex, intercepts, max, graph

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
tphillips9
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### y=f(x)= -2x^2+12x-10: find vertex, intercepts, max, graph

y=f(x)= -2x^2+12x-10 represent a parabola. Determine (a)the vertex (b) x and y intercepts (c) the maximum value of y and (d) sketch the graph of the parabola

nona.m.nona
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### Re: y=f(x)= -2x^2+12x-10: find vertex, intercepts, max, graph

Either complete the square to find the vertex, or else use the formula.

To find the x-intercepts, plug zero in for y. To find the y-intercepts, plug zero in for x.

The maximum will be the y-value of the vertex.

To graph, draw the vertex and the intercepts, and plot a few more points. Then draw the graph.

tphillips9
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### Re: y=f(x)= -2x^2+12x-10: find vertex, intercepts, max, graph

is the vertex 1/8 and the x and y intercept is (1/2,0) or (-10,0) and y is (0,10)

nona.m.nona
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### Re: y=f(x)= -2x^2+12x-10: find vertex, intercepts, max, graph

The vertex is supposed to be a point, (x, y) = (h, k). Try using the formula to get the value of h, and then plug that into f(x) to find the value of k.

To find the intercepts, plug in zeroes where appropriate. To find the x-intercepts, either factor or else use the Quadratic Formula. To find the y-intercept, simply evaluate.