Answer:
D
g(x) = 2 x²
Step-by-step explanation:
You are given a co-ordinate on g(x): (2,1). Plug this into the equaitons to see which one holds true.
A
g(x)=(0.5x)²?
2=(0.5(1))²?
2=0.25? NO
B
g(x)=(0.25x)²?
2=(0.25(1))²?
2=0.0625? NO
C
g(x)=0.5x²?
2=0.5(1²)?
2=0.5? NO
D
g(x)=2x²?
2=2(1²)?
2=2? YES
This could also be solved intuitively, since from the graph, you can see that the x values for g(x) are twice the x values for f(x), but the mathematical method above works too, and is useful if you find reading and assuming things from graphs difficult.
Answer:
Slope= -1/3x
Step-by-step explanation:
Answer:
y - 7 = -2(x - 4)
Step-by-step explanation:
We are asked to write the equation of a line in point slope form
Step 1 : find slope
We are given the slope to be -2
Slope m = -2
Step 2: substitute m into point slope form
y - y_1 = m( x - x_1)
y - y_1 = -2 ( x - x _1)
Step 3: substitute the point into the equation
y - y_1 = -2( x - x _1)
( 4 , 7)
x_1 = 4
y_1 = 7
y - 7 = -2( x - 4)
We don't need to open the bracket because we are asked to write the equation in a point slope form
It would be the last one, to inform readers about a topic using facts and details.