Harrington Hilton
06/25/2023 · Primary School
\( y=-\frac{2}{3}(x-4)(x+5) \) key features direction of opening \( y \)-intercept \( x \)-intercepts coordinate of vertex equation of axis of symmetry Domain Range Transformations: is this a function
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The parabola opens downward, with a \( y \)-intercept at \( \left(0, \frac{40}{3}\right) \), \( x \)-intercepts at \( (4, 0) \) and \( (-5, 0) \), vertex at \( \left(-\frac{1}{2}, -\frac{27}{2}\right) \), axis of symmetry at \( x = -\frac{1}{2} \), domain \( (-\infty, \infty) \), range \( \left(-\infty, -\frac{27}{2}\right] \), and transformations including a vertical stretch by \( \frac{2}{3} \), reflection, and horizontal shifts. It is a function.
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