What is y=x^2+74, translated 2 units up and 5 units left
2 answers:
Answer:
y = x² + 10x + 101
Step-by-step explanation:
Start with the basic function: y = x² + 74.
To shift the parabola up two units, you add two units to the value of y. The equation becomes
y = x² + 76
To shift the parabola five units to the left, you must add five units to the value of x. The equation for the parabola becomes
y = (x + 5)² + 76
y = x² + 10x + 25 + 76
y = x² + 10x + 101
The figure below shows the graphs of
y = x² (red)
y = x² + 76 (blue) (shifted up two units)
y = x² + 10x + 101 (green) (shifted left five units)
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Answer:
Step-by-step explanation:
The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:
However, the experimental probability can be described with the following formula:
The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:
One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:
Substitute,
Simplify,
Rewrite as a decimal: