Find g(x), where g(x) is the translation 7 units up of f(x)=x2.

1 answer:

7 0

The process of transformation under translation means that the figure is simply change into another position. That is, the angles, the lengths or any other characteristic is unchanged except for the position of the figure in the Cartesian coordinate alone.
We are given the function in the form of:

f(x) = x^2

Which can also be written as:

y = x^2

Since the translation made is to move the figure 7 units up, then this means that the y coordinate is increased by 7. The given equation is a parabola pointing up with vertex at (0, 0). So moving it up would move the vertex at point (0, 7). The vertex of y is represented by the variable b, therefore b = 7 which further gives us the function:

y' = x^2 + 7

g(x) = x^2 + 7

You might be interested in

riangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding point

tester [92]

Answer:

5 units

Step-by-step explanation:

According to the given statement Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.

To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs

The square of the required distance = 4^2+3^2 = 16+9 =25

By taking root of 25 we get:

√25 = 5

Thus, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ is 5 units. ..

7 0

3 years ago

Ralph invested in a mutual fund and at the end of 20 years he has $14,300 in his account. If the mutual fund returned an average

Semenov [28]

Answer:

$\$5,500$