Answer:
Step-by-step explanation:
Given is a graph of parent funciton
![f(x) = x^3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3)
This graph is made into a series of transformations as horizontal shift by 1 unit to the right and vertical shift of 4 units up to get new funciton as
![g(x) = (x-1)^3+4](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%28x-1%29%5E3%2B4)
Hence we must have a graph which has horizontal shift of 1 unit to the right and vertical shift 4 units up.
Option A is the same as given hence incorrect
Option B has horizontal shift to left hence incorrect
Option C has vertical shift down by 5 units incorrect
Option D is correct since it passes through (1,4) and also hor shift, vert shift are right
Answer:
1. 13 times
2. 1170 sec = 19 min 50 sec
Step-by-step explanation:
1. 3.1 times 4 quoters = 13 times
90 sec
<u>x 13 times</u>
270
<u> 900 </u>
1170 sec = 19 min 50 sec
Answer:
Step-by-step explanation:
because the perimeter isn't 12 feet
The U and inverted U symbols, ∪ and ∩, are mathematical symbols used to denote union or intersection, respectively. For example, when a rational algebraic equation is graphed, there may be some points where the equation is undefined. Visually, we see it as breaks or discontinuities. We use the ∪ symbol to express union. For example, {-∞,2)∪(4,+∞). That means that the graph passes at all x values except x=3.
The ∩ symbol is used for intersection of two lines, for instance. When equation A and equation B are graphed, they can intersect at points (x,y). It is therefore expressed as: A∩B = (x,y).
Answer:
y = 10x - 2
Step-by-step explanation:
From the table attached,
Let the equation of a line passing through two points
and
is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Slope of the line passing through (0, -2) and (1, 8) will be,
m = ![\frac{8+2}{1-0}](https://tex.z-dn.net/?f=%5Cfrac%7B8%2B2%7D%7B1-0%7D)
m = 10
y-intercept 'b' = -2 [Output value at x = 0]
Therefore, equation of the line will be,
y = 10x - 2