The answer to the question
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
2 answers:
Answer:
Coordinates are (–6, 0), (2,0).
Step-by-step explanation:
Given the function
we have to find the x-intercepts of the graph of the function f(x).
As the value of y coordinate is 0 on x-axis which gives the x-intercepts of the function.
Put y=0 in above function we get the x-intercepts.
⇒
⇒
⇒
⇒ x=2 and x=-6
Hence, x-intercepts are 2 and -6
⇒ Coordinates (–6, 0), (2,0).
Option 1 is correct.
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Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is with k = 2. So we can say the more specific dilation rule is
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
- V = (-2, -1)
- W = (-2, 2)
- X = (0, 2)
- Y = (3, -1)
will dilate to the corresponding image points
- V ' = (-4, -2)
- W ' = (-4, 4)
- X ' = (0, 4)
- Y ' = (6, -2)
as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.