which of the graphs shown below represents the base function f(x)=x^2 and the stretched function g(x)=-7/2x^2

Mathematics

1 answer:

IRINA_888 [86]2 years ago

8 0

F(x) = x^2 is the black parabola in both graphs.
g(x) = - 7/2 x^2 tells you the parabola will be:
- flipped upside down because the negative on the 7/2
- skinnier, because of the 7/2.

This will be the second graph.

You might be interested in

Which choice could be the equation of a line parallel to the line represented by this equation? y=7/4x - 6

stealth61 [152]

The answer is c, because it is the same line, just higher.

7 0

3 years ago

The diameter of Circle terminates on the circumference of the circle at (3,0) and (3,−7).. Write the equation of the circle in

Verdich [7]

Step-by-step explanation:

that means the center of the circle is exactly in the middle between the 2 points.

and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5

so, the coordinates of the center are (3, -3.5).

and that makes the standard circle equation

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 3.5)² = 3.5² = 12.25

as h, k are the coordinates of the center, and r is the radius (half the diameter).

7 0

2 years ago

Plot the vertices (–2, –8), (–2, 2), and (8, 2). What is the last vertex of the rectangle? What is the area of the rectangle? sq

Wewaii [24]

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units