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)
Math question: Find the limit as x approaches infinity of (x^3 - e^x)/(x^2 + ln(x)).
+
Find the measure of an angle if its bisector creates two adjacent angles of 75° and 105°.
+
What is the period of the trigonometric function f(x) = 2sin(4x) -
+
New questions in Mathematics