PLEASE HELP The graph of function g is a vertical stretch of the graph of function f by a factor of 10.
1 answer:
Vertical stretch:
Suppose, we are given any function f(x)
and it is asked to vertically stretch graph of f(x) by 'a' units
Vertical stretch means stretching y-value
and f(x) is y-value
so, we multiply 'a' to f(x)
so, our function will become
now, we are given
The graph of function g(x) is a vertical stretch of the graph of function f(x) by a factor of 10.
It means that parent function is f(x)
and new function becomes g(x)
and it is stretching vertically by 10 units
so, we can write as
............Answer
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Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
Answer:
Simplify
The answer is:
Step-by-step explanation:
We have the expressions:
Now, we need simplify:
We need to replace each term by the expressions:
We need to remember the rule of signs:
With this in mind we solve the parentheses:
let's group common terms
We must add and subtract common terms:
The answer is: