Vertical translation 3 units down, vertical compression by a factor of 0.5, and r<span>eflection across the x-axis. This is because since the number -3 is outside of the parenthesis, it is a vertical translation and is since it is negative it is 3 down. If the number multiplied by the function is less than 1 it is a compression and if it is greater than 1 it is a stretch. And the negative represents the reflection across the x axis.
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The most likely answer is B.
Highlighting the corresponding parts from the original in the copy is just coloring in the parts of the copy that have the same scale, for example, if the center of the scaled copy is one unit, the original could be 3 units.
Answer:
#3
Step-by-step explanation:
Four times the sum of a number and 15 is at least 120
Let ‘x’ represent the number.
"The sum of a number and 15"
This can be written mathematically as x + 15
Given that 4 times this sum is at least 120,
This means that 4 times the sum is greater than or equal to 120
This can be written mathematically as 4(x + 15) >= 120
Solving for x
4(x + 15) >= 120
4x + 60 >= 120
4x >= 120 – 60
4x >= 60
x >= 60/4
x >= 15
x is greater than or equal to 15
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Answer:
k > 100
Step-by-step explanation:
y= x²+20x+k
if the graph doesn't intersect the x-axis it means it has no real roots so the discriminat has to be negative so will have imaginary roots
discriminant is
b²-4ac = 20²-4*1*k = 400-4k for this to be negative k has to be more then 100 so will have 400 - a number bigger then 400
k > 100 is the solution
