The parabola y=x^2 is scaled vertically by a factor of 1/10.
What is the equation of the new parabola?
y=______
I dont get what it is asking. Please help!
y = 0.1 x^2
it wants to know what the new equation is once it it has been scaled
No problem! I'll be happy to help you understand and answer your question step by step.
In this problem, we need to scale the parabola y = x^2 vertically by a factor of 1/10. Scaling a function vertically means we stretch or compress it vertically by multiplying or dividing its output (y-values) by a certain factor.
To scale the parabola y = x^2 by a factor of 1/10, we need to multiply all the y-values (or outputs) of the original parabola by 1/10.
So, the equation of the new parabola will be y = (1/10)(x^2).
If you want to simplify further, you can distribute the 1/10 to the x^2 term to get y = 1/10 * x^2.
Therefore, the equation of the new parabola, after scaling vertically by a factor of 1/10, is y = 1/10 * x^2.
I hope this clears up your confusion. Let me know if you have any further questions!
To understand the problem, let's first discuss what it means to scale a parabola vertically by a factor of 1/10.
Scaling a parabola vertically means that all the y-values of the parabola are multiplied by a certain factor. In this case, the factor is 1/10. To scale the parabola vertically by this factor, we need to multiply the y-coordinate of each point on the original parabola by 1/10 to obtain the corresponding point on the new parabola.
Now, let's find the equation of the new parabola after scaling. The original parabola has the equation y = x^2, where y represents the y-coordinate and x represents the x-coordinate of any point on the parabola.
To scale the original parabola vertically by a factor of 1/10, we need to multiply the y-coordinate by 1/10. So, the equation of the new parabola becomes:
y = (1/10)(x^2)
Simplifying this equation, we can rewrite it as:
y = 1/10 * x^2
Therefore, the equation of the new parabola after scaling vertically by a factor of 1/10 is y = 1/10 * x^2.