the function age is a quadratic function whose graph is a translation seven units left and nine units up of the parent fun
Question
The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C
282
likes
1411 views
Answer to a math question The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C
1. Start with the parent function f(x) = x^2 .
2. Translate the function seven units to the left: y = (x + 7)^2 .
3. Then translate the function nine units up: y = (x + 7)^2 + 9 , which is the vertex form.
4. Expand the vertex form to convert it into standard form: y = (x + 7)^2 + 9 y = (x^2 + 14x + 49) + 9 y = x^2 + 14x + 58 , which is the standard form.
Answer in Vertex Form: y = (x + 7)^2 + 9
Answer in Standard Form: y = x^2 + 14x + 58
Frequently asked questions (FAQs)
Math question: What are the extrema (maximum and minimum points) of the function f(x) = 2x^3 - 9x^2 + 12x - 4 in the interval [0, 5]?
+
Math question: Given a right triangle with legs a = 3 and b = 4, find the length of the hypotenuse.
+
Math question: What is the factored form of 15x^2 + 9x - 10?