A function f is given and the indicated transformation are applied to its graph (in the given order) write the equation for the final transformed graph f(x)=4 under root x reflect in the y axis and shift upward 6 units
To reflect the graph of f(x)=4 about the y-axis, we replace x with -x in the equation. This will give us f(-x)=4.
Next, to shift the graph upward 6 units, we add 6 to the equation. This will give us f(-x)+6=10.
Therefore, the equation for the final transformed graph is f(x) = 10.
To write the equation for the final transformed graph, we will apply the indicated transformations in the given order.
1. Reflecting in the y-axis: This transformation can be achieved by multiplying the x-coordinate by -1. The equation becomes f(-x) = 4 √ x.
2. Shifting upward 6 units: This transformation can be achieved by adding 6 to the y-coordinate. The equation becomes f(-x) + 6 = 4 √ x.
Therefore, the equation for the final transformed graph is f(-x) + 6 = 4 √ x.
To write the equation for the final transformed graph, we need to break down the given transformations and combine them.
1. Start with the original function f(x) = 4√x
2. Reflect in the y-axis: This transformation can be achieved by replacing x with -x in the equation.
So, the new equation becomes f(-x) = 4√(-x).
3. Shift upward 6 units: This transformation can be achieved by adding 6 to the equation.
The new equation becomes f(-x) + 6 = 4√(-x) + 6.
Therefore, the equation for the final transformed graph is f(-x) + 6 = 4√(-x) + 6.