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Quadratic Function y=a(x-p)(x-q)

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Ashley Finner

on 7 November 2012

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Transcript of Quadratic Function y=a(x-p)(x-q)

y=a(x-p)(x-q) Quadratic Functions To find x-intercepts... Set y=o and solve. This should be fast as the function is already factored.

Given: y = 5(x-4)(x+8)
0 = 5(x-4)(x+8)
0 = x-4 and 0=x+8
x = 4 and x = -8
(4, 0) and (-8, 0) To find the vertex... The x-value of your vertex is half-way between the x-values of the x-intercepts.

Find the vertex of: y = 5(x-4)(x+8)
x = (4-8)/2 = -2
y = 5(-2-4)(-2+8) = -180

Vertex: (-2, -180) To find the y-intercept... Set x = 0 and solve for y. Make sure to follow the order of operations and write your answers as coordinate pair. y=a(x-p)(x-q)

This form of a quadratic
function is convenient because
it clearly shows the x-intercepts
of the function. Given: y = 5(x-4)(x+8)
y = 5(0-4)(0+8)
y = 5(-4)(8)
y = -160
(0, -160) Practice:
Find the x-intercepts,
vertex, and y-intercept
of the function
y=-2(x+3)(x-5) x -int: (-3, 0) and (5, 0)

vertex: (1, 32)
x = (-3+5)/2= 1
y = -2(1+3)(1-5) = -2(4)(-4) = 32

y-int: (0, 30)
y = -2(0+3)(0-5) = -2(3)(-5) = 30 Works Cited
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