Which values of a, b, and c are possible?
1 answer:
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5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
ANSWER
EXPLANATION
The expressions are
and
The greatest common factor is the product the least powers of the common factors.
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Answer:
- vertical stretch: the function value (f) is multiplied by the stretch factor
- horizontal stretch: the variable (x) is divided by the stretch factor
Step-by-step explanation:
A stretch can be vertical, horizontal, or both.
Multiplying the function value by a factor greater than 1 will stretch the graph vertically.
Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.
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The graph is stretched by the factor according to how it is applied.
