Answer:
Correct option: D
Step-by-step explanation:
If we want to shift the graph one unit to the left, we need to add one in the argument of the function, that is, we need to find G(x+1), and we do that by switching the values of x by (x+1) in the equation G(x)
So we have that:
G(x) = x^3 - x^2
Switching all values of x by x+1, we have:
G(x+1) = (x+1)^3 - (x+1)^2
So the correct option is D.
Answer:
195 cubic centimeters (cm^3)
Step-by-step explanation:
sorry it's late
9514 1404 393
Answer:
C. (1, -1)
Step-by-step explanation:
Dilation by a factor of 1/3 multiplies each coordinate value by 1/3.
(x, y) ⇒ (x/3, y/3)
K(3, -3) ⇒ K'(3/3, -3/3) = K'(1, -1)
Answer:
"half of the 12-inch quesadilla" is larger
Step-by-step explanation:
The "inch size" is the diameter of the circular quesadilla.
The area of circle is given by 
We also know radius is half of diameter.
<u>HALF OF 12-INCH QUESADILLA:</u>
12in diameter = 6 inch radius, the area is:

Half of this is:

<u>ENTIRE 6-INCH QUESADILLA:</u>
6 inch diameter means 6/2 = 3 inch radius
The area of this is:

<u>So, we can say that "half of the 12-inch quesadilla" is larger.</u>
Answer:
When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.
Step-by-step explanation:
Like I explained above, when rotating a shape 90 degrees <em>clockwise </em>on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree <em>counterclockwise </em>rotation. That is why the student is incorrect.
I hoped this helped! Sorry, I am terrible at explaining things. :)