Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
Answer:
(-5,-6)
Step-by-step explanation:
Let(-3,-9)=(x1,y1)
(-7,-3)=(x2,y2)
Using midpoint formula,
Midpoint(x,y)=((x1+x2)/2,(y1+y2)/2)
=((-3+(-7))/2,(-9+(-3))/2))
=((-3-7)/2),(-9-3)/2))
=((-10/2),(-12/2))
=(-5,-6)
Thus midpoint(x,y)=(-5,-6)
Answer:
heat causes the concrete to crack and dissemble
Step-by-step explanation:
ANSWER
The discriminant is -3
EXPLANATION
The given quadratic equation is:
Comparing this equation to:
we have
a=1, b=3, and c=-6
The discriminant is calculated using the formula,
We substitute the values to get:
