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)
Question: Solve the polynomial expression 3x² + 7x + 4 by factoring.
+
What are the roots of the quadratic equation 2x² + 5x - 3 = 0?
+
What are all the non-zero whole number solutions to the equation x^n + y^n = z^n where n is an integer greater than 2?
+
New questions in Mathematics