The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement that relates a dependent variable and an independent variable.
It is given that
f(x) = x²
It has been asked to determine the equation of g(x)
It can be seen from the graph the the vertex is same just the graph is scaled.
The point (3,3) is of g(x) , when the value of y at at x =3 is 9
Therefore the scale factor is 1/3
And we can do trial and error on the basis of the options given ,
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
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Answer:
x= 6 and b= 126°
Step-by-step explanation:
okay the first step to solving this is understanding what are the properties of ∠A and ∠B.
so the angles are equal to each other because they are alternate interior angles.
if that is settled it means the equation for both angles would be equal to each other as well.
∠A= 8x + 78° ∠B= 2x + 114°
therefore: 8x + 78= 2x + 114
then solve for x:
- isolate x and the answer is equal to 6 at the end
now you are looking for angle b, so you input x which is 6 into the equation;
= 2(6) + 114°
=12 + 114°
=126°
Answer:
Assuming the problem asks to rotate counterclockwise: E' (0,0) F' (0,5) G' (-4,5) H' (-4,0)
If it says rotate clockwise then your points will be: E' (0,0) F' (0,-5) G' (4,-5) H' (4,0)
Step-by-step explanation:
Translate the points first by subtracting 3 from the x-coordinates of each, then subtracting 3 from the y-coordinates of each. Next, to rotate them counterclockwise about the origin 90 degrees, switch the x and y coordinates and the sign of the resulting x-coordinate. To rotate clockwise 90 degrees switch the x and y still but change the sign of the resulting y coordinate.
