The parabola y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3 What is the equation of the new
2 answers:
Answer: y =
<u>Step-by-step explanation:</u>
y = ax² ; where a represents the vertical stretch
a reflection across the x-axis is represented by making the a-value negative.
Answer:
Step-by-step explanation:
The given parabola is a parent function, that is, it's the simplest form of a parabola.
The first transformation is about a reflection across the x-axis, this means that we need to multiplied the squared factor by a negative signed, that is
This represents a parabola reflected across the x-axis.
The second transformation is about a scale factor of 4/3, this means that the function has to be multiplied by this factor to obtain the transformation. The expression would be
Therefore, this final expression represents the function reflected across the x-axis and scaled by a factor of 4/3.
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Answer:
The correct order that the machines should be stacked so that when 15 dropped into the first machine, and all four machines have had their effect, the last machine's output is -6 can be written as follows;
4th machine → 2nd machine → 1st machine → 3rd machine
Step-by-step explanation:
Given that the initial input is 15 and the final output is -6, we have;
For the fourth machine;
y = -2·x + 34 = -2×15 + 34 = 4
The output is 4
Next to the second machine
y = (x - 2)²
The input is x = 4, therefore;
y = (4 - 2)² = 2² = 4
The output is 4
Next to the first machine
The input, x = 4, therefore;
The output is -12
Next to the third machine
y = -x/3 -10
The input is x = -12, therefore;
y = -(-12)/3 -10 = 12/3 -10 = 4 - 10 = -6
The output is -6.
Therefore, the correct order that the machines should be stacked so that when 15 dropped into the first machine, and all four machines have had their effect, the last machine's output is -6 can be written as follows;
4th → 2nd → 1st → 3rd