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
likes1411 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
Neal
4.5105 Answers
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
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
Answer in Vertex Form: y = (x + 7)^2 + 9
Answer in Standard Form: y = x^2 + 14x + 58
2. Translate the function seven units to the left:
3. Then translate the function nine units up:
4. Expand the vertex form to convert it into standard form:
Answer in Vertex Form:
Answer in Standard Form:
Frequently asked questions (FAQs)
What is the amplitude, period, and range of the cosine function \(f(x) = \cos(x)\)? Also, find the x-intercepts and the coordinates of the maximum and minimum points.
+
Math question: Graph the inequality 3x + 2y < 10 on a coordinate plane. (
+
Math question: Solve the cubic equation x^3 + 2x^2 - 5x - 6 = 0.
+
New questions in Mathematics