How to graph quadratic functions, find and label the vertex, axis of symmetry, y-intercept, and max $f (x) = {(x - 7)}^{2} - 3$ $f(x) = (x-7)^2-3$ ?

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How to graph quadratic functions, find and label the vertex, axis of symmetry, y-intercept, and max $f (x) = {(x - 7)}^{2} - 3$ $f(x) = (x-7)^2-3$ ?

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Answer 1 · 2015-04-19T18:09:20

The given function represents a vertical parabola, opening upwards because the coefficient of $x^{2}$ $x^2$ is positive.

Vertex is (7,-3). Axis of symmetry is x=7, Y-intercept is 46.

To graph the function, find x intercept also by solving ${(x - 7)}^{2}$ $(x-7)^2$ -3=0. x would be $(7 + \sqrt{3})$ $(7 + sqrt3)$ and $(7 - \sqrt{3})$ $(7- sqrt3)$

Graph can be drawn now using these inputs.

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How to graph quadratic functions, find and label the vertex, axis of symmetry, y-intercept, and max $f (x) = {(x - 7)}^{2} - 3$ $f(x) = (x-7)^2-3$ ?

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How to graph quadratic functions, find and label the vertex, axis of symmetry, y-intercept, and max f(x)=(x−7)2−3f(x) = (x-7)^2-3?

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How to graph quadratic functions, find and label the vertex, axis of symmetry, y-intercept, and max $f (x) = {(x - 7)}^{2} - 3$ $f(x) = (x-7)^2-3$ ?