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Irina-Kira [14]
3 years ago
11

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

Mathematics
2 answers:
Tomtit [17]3 years ago
7 0

D is the only x-intercept out of the options listed below.



In order to find an x-intercept, you need a value that will cause the y-value to equal 0, since this is where x-intercepts exist.



Automatically, A and B do not work since the y-values in the ordered pairs do not equal 0. By definition they are not x-intercepts. Next we can try the x-values in the equation to see which gives us a 0 y-value.



C


f(x) = (x + 6)(x - 3)


f(6) = (6 + 6)(6 - 3)


f(6) = (12)(3)


f(6) = 36



Since this does not equal 0, it is not an x-intercept.



D


f(x) = (x + 6)(x - 3)


f(-6) = (-6 + 6)(-6 - 3)


f(-6) = (0)(-9)


f(-6) = 0



This shows us that D yields a 0 value for y and is thus a x-intercept.

Veronika [31]3 years ago
6 0

Answer:

d. (–6,0)

Step-by-step explanation:

edge 2020

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