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ericperkins10ox0b27
02.01.2020 •
Mathematics
Consider the graph given below.
determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6
shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units
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Ответ:
Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units.
Step-by-step explanation:
Given:
The parent function is given as:
Now, let us find the equation of the transformed function using the graph.
Slope of the graph is given as the ratio of the y intercept and x intercept.
y-intercept = 6
x-intercept = 3
Therefore, slope is,![m=-\frac{6}{3}=-2](/tpl/images/0439/7766/739fc.png)
Negative sign means that the 'y' value decreases as 'x' increases.
Now, equation of a line with slope 'm' and y intercept 'b' is given as:
Plug in -2 for 'm' and 6 for 'b'. This gives,
So, the parent function
is transformed to
.
Now, let us transform the parent function to
using the rules of transformation.
1. Multiplying the parent function by -1.
This is reflection over the x axis.
2. Multiplying
by 2.
This transformation vertically stretches by a factor of 2.
3. Now, add 6 to
.
This shifts the graph up by 6 units.
Therefore, the series of transformations are:
Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units.
Ответ:
PLEASE BRAINLEST I AINT EVEN GOT ONE
but anyways
the anser should be 66 dollars and 66 or 67 cents
Step-by-step explanation:
15*6.666666666 = 100
6.666666666*10 = 66.6666667
so aproximatley it equals 66 dollars and 66 or 67 cents