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