Question 1180533: Determine the x-intercept and vertex for this equation:
y = (x - 3)(x + 5)
*can work be shown please for understanding Answer by ikleyn(52788) (Show Source):
You can put this solution on YOUR website! .
Determine the x-intercept and vertex for this equation:
y = (x - 3)(x + 5)
*can work be shown please for understanding
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You have a quadratic finction, presented as the product of two linear binomials.
The x-intercepts are the zeroes of these binomials.
One x-intercept x= 3 comes as the zero of the binomial (x-3).
The other x-intercept x= -5 comes as the zero of the binomial (x+5).
The x-coordinate of the vertex is exactly half-way between the x-inercepts = = = -1.
The y-coordinate of the vertex is the value of the given quadratic function at x= = -1.
So, = (-1 -3)*(-1+5) = -4*4 = -16.
The coordinates of the vertex are (, = (-1,-16).
The plot
The plot y = (x - 3)(x + 5).
