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 value of the sine of 45 degrees in the unit circle chart?
+
Math question: Solve for x: 3(x + 4) - 2(x - 1) = 7(x - 2) + 3
+
What is the value of f(π/4) for the cosine function f(x) = cos x?
+
New questions in Mathematics