Answer:
B. (3,2)
Step-by-step explanation:
Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).
Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).
See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!
Answer:
domain (−∞,∞)
range (−∞,∞)
n = 40 and it refers to the fact that after delivering 40 newspapers, there will be no paper left in the bag
Step-by-step explanation:
To find the zero, we equate the linear equation to zero
w = 30 - 3n/4
3n/4 = 30
3n = 120
n = 120/3
n = 40
What this mean in this context is that the the bag becomes empty after he has delivered 40 newspapers or we can say that the maximum number of papers the bag can take is 40
The range refers to the number on the y-axis
Here the range is (−∞,∞)
The domain refers to the x axis values
We have (−∞,∞)
Find thy radius.
Thy radius is 7.25 (D / 2 = R)
Thy formula for area is A = (pi)r^2
Substitute and Solve
A = (pi)r^2
= (pi)(7.25)^2
= (pi)(52.5625)
= 165.04625
Therefore, the area is about 165.
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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