Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
To find the equation of the new function after applying the given transformations to the quadratic parent function f(x) = x^2 , we need to apply each transformation step-by-step. Let's start with the original function and apply each transformation in sequence.
1. Shift 1 unit right: To shift the function ( f(x) = x^2 ) to the right by 1 unit, we replace ( x ) with ( (x - 1) ). This gives us:
f(x) = (x - 1)^2
2. Vertically stretch by a factor of 5: To vertically stretch the function by a factor of 5, we multiply the entire function by 5. This results in:
f(x) = 5(x - 1)^2
3.Reflect over the x-axis: To reflect the function over the x-axis, we multiply the entire function by -1. This gives us:
f(x) = -5(x - 1)^2
So, after applying all the given transformations, the equation of the new function is:
f(x) = -5(x - 1)^2
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
