The function f is given by f(x)= (x-2) (x+4) . Without using graphing technology, answer the following questions. (graph include
d)
1) What are the x-intercepts of the graph representing f?
2) What are the x- and y-coordinates of the vertex of the graph?
please help!!
1 answer:
Answer:
x-intercepts = -4 and 2
vertex (-1, -9)
Step-by-step explanation:
To find the x-intercepts ie roots
set the equation to 0
(x - 2) (x + 4) = 0
From the zero product rule
x - 2 = 0
x = 2
x + 4 = 0
x = -4
x-intercepts = -4 and 2
--------------------------
The x coordinate of the vertex is the midpoint of the roots
x = (-4 + 2)/2
x = -1
Plug x = -1 into the function
y = (-1 - 2)(-1 + 4)
y = -3 * 3
y = -9
vertex (-1, -9)
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