The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = x².
<h3>What is Equation of parabola?</h3>
The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
The given equation is of parabola : y= x²
Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
Then, the new equation of parabola be:
y = x²
Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = x².
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Answer:
Step-by-step explanation:
Let denotes the average braking distance for a population of small car.
Given : It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
i.e.
Objective of test : Whether the statement made in the advertisement is false
i.e.
Since '=' signs is contained by Null hypothesis and alternative hypothesis is against it.
So the null and the alternative hypotheses for the test will be: