Answer:
II. The vertical shift is up 3 spaces.
III. The square root graph will flip.
Step-by-step explanation:
The given equation is;
From the given function, we deduce the parent function to be:
So we can see that the transformation is of the form.
So there is a horizontal shift of 2 units to the right.
There is a vertical upward shift by 2 units.
There is also a reflection in the x-axis, so the parent graph will flip.
The hypotenuse of the right triangle measures 3 units.
<h3>How to find the hypotenuse?</h3>
Here we know that both legs measure:
If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:
Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
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The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.
Answer:
The correct answer is 2 inches.
Step-by-step explanation:
Let l inches and w inches be the length and width of a rectangle respectively.
According to the given problem, l - 8 = .
Area of the rectangle is given to be, according to the question, 18 square inches.
Thus l × w = 18
⇒ l × (2l - 16) = 18
⇒ 2 - 16l - 18 = 0
⇒ - 8l - 9 = 0
⇒ ( l - 9) ( l + 1) = 0
The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.
Width of the rectangle is 2 inches.