What is the simplified expression for -3x2 + 5x + 2 - 1 - 7x + 3x2
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On the unit cirlce, the cosine of an angle is negative whenever the angle falls in the interval
If you recall your special triangles, this cosine occurs for angles of
More generally, this occurs for
The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².
<h3>How to illustrate the graph?</h3>The vertex of this parabola is (-1, 8). It opens downward, so the x² term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².
Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)² or a = -2
The desired equation is y - 8 = -2(x + 1)^2
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