A teacher writes the function f(x)=3x^2-18x+27 on the board. How many times does the graph of the teacher's function intersect t
1 answer:
Answer:
Once. at (3,0)
Step-by-step explanation:
It is handy to have a graphing calculator for this kind of question.
Otherwise work it out.
All the terms are multiples of 3, so simplify.
then factor (x -3)(x-3)
Set each equal to 0 and solve for x.
x - 3 = 0 x = 3
OH ! they are identical! So there is only One value for x that will produce an output of 0.
So it intersects (touches) only once.
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ANSWER
See attachment.
EXPLANATION
The given function is
The parent function is
When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.
The graph of this function is shown in the attachment.
