Factor completely: 3w^2-3w-90
Answer:
Step-by-step explanation:
Translation of a Graph
If the graph of y=f(x) is translated a units horizontally and b units vertically, then the equation of the translated graph is:
The function given in the question is
We are required to translate it 6 units to the right, or a=6. No vertical translation is required, thus, the function whose graph is 6 units translated to the right is:
Operating:
Reflection across y=3 in mathematics means that every point or object is mirrored over the line y=3. This results in the x-coordinate remaining the same, while the y-coordinate changes, following the formula (x, y) => (x, 2*3-y). It involves mirroring the points above and below the line y=3.
In mathematics, reflection across y=3 implies that every point or object on the coordinate plane is mirrored over the horizontal line y=3. Let's say you have a point (x,y), when it is reflected over y=3, the new point will remain at the same x position, but its y-coordinate changes. The formula for reflection is (x, y) => (x, 2*3-y). Therefore, if a point is above the line y=3, it will be reflected below it and vice versa. For example, if you have a point at (5,4), it will be reflected onto the point (5,2).
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b. 28.3
c. 32.5
d. 37.7