Vertex form of an equation for a parabola looks like this:
f(x) = a(x-h)² + k
(h,k) is the vertex. Just plug in the values (3,-2)
f(x) = a(x-3)² - 2
Now use the point (5,-1) to find "a" so that the equation goes through that point.
-1 = a(5-3)² - 2
-1 = a(2)² - 2
-1 = 4a - 2
-1 + 2 = 4a
1 = 4a
1/4 = a
put that into the equation to get the answer
f(x) = (1/4)(x - 3)² - 2
Answer:
square root function; y = -√(x + 2) - 1
Step-by-step explanation:
the graph shown is a square root function
the parent of a square root function is y = √x
you transform this equation using y = a√(x - h) + k
it is reflected across the x axis so you put the negative before the a
since there is no dilation the a is blank
y = -√(x - h) + k
the h is the horizontal shift
it went 2 to the left so that is -2
that makes it y = -√(x - -2) + k
which is also y = -√(x + 2) + k
the k is the vertical shift
it went 1 down
that makes it y = -√(x + 2) - 1
that is your equation
Answer:
4 feet on each side.
Step-by-step explanation:
Given :
Width of the wall = 11 feet
Width of the window = 3 feet
Now for the window to be placed in the center of window :
= 4 feet
Therefore, in order to place the window on the center of the wall, 4 feet space must be there on each side of the window.
Answer:
215,00.
Step-by-step explanation:
Average price = 22500
18000*2 + 28000 + 27000 + x = 22500*5
91000 + x = 112500
X = 21500