What is the area of a triangle in square units if base =11 and height=20
2 answers:
You might be interested in
Answer:
x = - 3.42443 or 6.42443
Step-by-step explanation:
Answer:
Step-by-step explanation:
To determine the value of , we want
to be 1, so that
. Notice that if
, then
, so the value of
is simply
. From the graph, it appears that
, so therefore
.
Function transformation involves changing the form of a function
- The transformation from f(x) to g(x) is a horizontal shift 3 units left, followed by a vertical stretch by a factor of 4
- The x and y intercepts are -0.67 and 1.91, respectively.
- The behavior of g(x) is that, g(x) approaches infinity, as x approaches infinity.
The functions are given as:
<u>(a) The transformation from f(x) to g(x)</u>
First, f(x) is shifted left by 1 unit.
The rule of this transformation is:
So, we have:
Next. f'(x) is vertically stretched by a factor of 4.
The rule of this transformation is:
So, we have:
Hence, the transformation from f(x) to g(x) is a horizontal shift 3 units left, followed by a vertical stretch by a factor of 4
<u>(b) Sketch of g(x)</u>
See attachment
<u>(c) Asymptotes</u>
The graphs of g(x) have no asymptote
<u>(d) The intercepts, and the behavior of f(x)</u>
The graph crosses the x-axis at x =-0.67, and it crosses the y-axis at y = 1.91
Hence, the x and y intercepts are -0.67 and 1.91, respectively.
The behavior of g(x) is that, g(x) approaches infinity, as x approaches infinity.
We know this because, the value of the function increases as x increases
Read more about function transformations at:
