Initial:

Changed to:

As you can see the change is: from -1 to +6.
In a equation as follow:

The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.
In this case the graph moves up
To find the number of units the graph moves find the difference betwwen values of k:

Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6
Answer:
24 years old
Step-by-step explanation:
Let Malvin's age be x.
- x / 2
- x / 2 + 5 = 5x / 10 [ By taking the L.C.M.]
- ( 5x / 10 ) * ( 1 / 3 ) = 5x / 30 [ Multiply with the reciprocal of 3 ]
- ( 5x / 30 ) * 2 = 5x / 15
Now let's solve the equation,
5x / 15 = 8
5x = 8 * 15
5x = 120
x = 120 / 5
x = 24
Therefore, Malvin is 24 years old.
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Answer:
152 in³
Step-by-step explanation:
Each cube's volume is the cube of its edge length, so the total volume is ...
(5 in)³ + (3 in)³ = 125 in³ +27 in³ = 152 in³
Step-by-step explanation:
2x-5=2x-6. First you collect like terms
2x-2x=-6+5
0=-1
This statement is false 0≠-1
Answer:
a
Step-by-step explanation:
y2-y1 / x2-x1
1-2 / 3-(-2)
1-2 / 3+2
-1 / 5