The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
<h3>
How does the graph of g(x) compare to the one of f(x)?</h3>
Here we have:
You can notice that if we take f(x), and we shift it 2 units to the right, we have:
g(x) = f(x - 2)
Then if we apply a shift upwards of 6 units, then we have:
g(x) = f(x - 2) + 3
Replacing f(x) by the cubic parent function, we have:
So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Answer:
<u>y = -3x - 0.25</u>
Step-by-step explanation:
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
We'll use the point-slope form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
We are told the slope, m, is -3.
y = -3x + b
We need to find a value for b that will cause the line to go through point (1.25,-4), We can do that by entering this point in the equation we have this far:
y = -3x + b
-4 = -3(1.25) + b
-4 = -3.75 + b
-0.25 = b
<u>The equation is: y = -3x - 0.25</u>
<u></u>
See attached graph.
Answer:
The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).
Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.
Here's a problem:
c ⊿ a (12)
b (6)
C is missing, we have to find C, so here's what we do:
Step 1: You square all the numbers in the equation
12² + 6² = c²
↓
144 + 36 = c
Step 2: You add 144 + 36 and you get 180
Step 3: Then you find the square root >> 
and you get ≈13.4
Now sometimes, the a or b would be missing, for example:
c (13)⊿ a
b (5)
A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)
Step 1: You square all the numbers in the equation
a² + 5² = 13²
a + 25 = 169
For this next part, you must subtract a or b (in this case, b) on both sides, for example:
25 – 25 = 169 - 25
25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.
Then we find the square root of 144 and we get 12
I hope this helps :)
In 1st fig
A=5×x(let)
9=5×x
in 2nd fig
A=10×2x(5 is doubled so ×also doubled)
A=10×2×9÷5
A=36
Answer:
The ratio of the number of boys to the number of girls in the class 1 to 2 or 1/2.
Step-by-step explanation:
Consider the provided information.
Let g is number of girls, and b is number of boys.
The total number of students is b + g.
It is given that, In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students.
Solve the above equation.
Hence, the ratio of the number of boys to the number of girls in the class 1 to 2 or 1/2.
