Answer:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative flips the graph.
The graph of
compares to
in the following ways:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Answer:
x = 11, y = 3
Step-by-step explanation:
(13x - 19) and (9x + 25) are corresponding angles and congruent, thus
13x - 19 = 9x + 25 ( subtract 9x from both sides )
4x - 19 = 25 ( add 19 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
Then
13x - 19 = 13(11) - 19 = 143 - 19 = 124
(17y + 5) and 124 are alternate angles and are supplementary, thus
17y + 5 + 124 = 180, that is
17y + 129 = 180 ( subtract 129 from both sides )
17y = 51 ( divide both sides by 17 )
y = 3
Answer:
14
Step-by-step explanation:
-2x^3 - 2x^2 - 4x-2
Let x = -2
-2 (-2)^3 - 2 (-2)^2 -4(-2) -2
Exponents first
-2 (-8) -2 (4) -4(-2) -2
Then multiply
16 -8 +8 -2
Then add and subtract
14
It is 60 times greater because 60 pennies=6 dimes . 6 dimes=60 pennies
Or
10 times greater because 6×10=60 60=6 dimes