# For the function y=2x2-4x-6, determine the coordinates of the x- intercept and the y- intercept.b) determine the equation of the axis of symmetryc) determine the coordinate of the vertexe) graph the function and label and indicate an appropriate scale on the axes

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For the function y=2x2-4x-6, determine the coordinates of the x- intercept and the y- intercept.

b) determine the equation of the axis of symmetry

c) determine the coordinate of the vertex

e) graph the function and label and indicate an appropriate scale on the axes

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Step 1

First of all, to find the x-intercept put y = 0 in equation (1) and find x.

Similarly, to find the parabola’s y-intercept put x = 0 in equation (1) and simplify to get y.

Therefore, x-intercept is (-1, 0) and (3, 0) and y-intercept is (0, -6).

Step 2

(b) Now, the symmetry axis is defined as the vertical line or horizontal line which passes through the parabola’s vertex.

Therefore, the symmetry axis is at x = 1.

Step 3

(c) The vertex’s x-coordinate is at x = 1. So put the value o...

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