Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
Answer:
cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:

As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
,
, 
Put these values in an equation we get

Hence, he needs
cups of pineapple juice .
Answer:
around 33 students.
Step-by-step explanation:
Answer:
the kitten gained 21 ounces
Step-by-step explanation:
2 pounds = 32 ounces
so then i added 32 to 3 and got a total of 35 ounces
56-35=21
Best Answer: <span> 8x^6y^5 - 3x^8y^3
GCF of 8 and 3 is 1
GCF of x^6 and x^8 is x^6 the lowest exponent of x.
GCF of y^5 and y^3 is y^3 the lowest exponent of y.
Total GCF = 1 × x^6 × y^3
= x^6y^3
8x^6y^5 - 3x^8y^3
= x^6y^3(8y^2 – 3x^2)
---- </span><span>This is the correct answer!!!</span>