Attached solution with detailed work.
Shown is a pentagon, with the size of each angle shown. Work out the largest angle.
2 answers:
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So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12:
y = 4x^2 + 8x + 3:
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
We can use the coordinates (-4, 5) and (0, 6) to find the slope.
Slope Formula:
Solve:
The slope of the line is \Large\boxed{\mathsf{1/4}}
Written in slope-intercept form: y = 1/4x + 6
Hope This Helped! Good Luck!