The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
1 answer:
Answer:
g(x) = f(x) - 2
g(x) = f(x + 2)
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when x = 0.
Function f:
Graph given in this question
When , so the y-intercept is 6.
Additionally, when
If g has a y-intercept at 4, which of the following functions could represent g?
Either we subtract 2 from f, that is:
Or we can also add 2 on the domain, that is, moving 2 units to the right, so:
So the first two options are correct.
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Answer:
x = 7 (multiplicity 2)
Step-by-step explanation:
When the function is written in factored form, the zeros are the values of the variable that make the factors zero.
y = (x -7)(x -7)
The values x = 7 and x = 7 will make the factors zero. The zero is said to be x=7 with multiplicity 2.
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On the graph, the zeros are the x-intercepts (where y=0). The graph only touches the x-axis, but does not cross. With some experience, you can recognize that this is a zero with even multiplicity (2).
Answer:
Given, DF and DE are midsegments of ABC. so D is the mid point of AB and F is the mid point of AC.
Considering AB,
Then DE is parallel to AC, as mid-segments are parallel to the non included side of the triangle.
Also, according to corresponding angle theorem,
Then,
As,
According to similarity of two triangles,
