ANATOMY

GENERAL ANATOMY

INTRODUCTION TO GENERAL ANATOMY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Find the vertex. y = x2+ 16x + 71
A
V(-8, 7)
B
V(-8, 3)
C
V(8, 10)
D
V(16, -2)
Explanation: 

Detailed explanation-1: -Recall, that the General Form of a parabola is y = ax2 + bx + c. In order to find the vertex from this form, you must first find the x-coordinate of the vertex which is x =-b/2a. After you find the x-coordinate of the vertex, you will take this number and substitute for x in the parabola equation.

Detailed explanation-2: -The vertex is (0, 0) because there are no translations in the function.

Detailed explanation-3: -Graphing y = (x-h)2 + k In the graph of y = x2, the point (0, 0) is called the vertex.

Detailed explanation-4: -We can use the vertex form to find a parabola’s equation. The idea is to use the coordinates of its vertex (maximum point, or minimum point) to write its equation in the form y=a(x−h)2+k (assuming we can read the coordinates (h, k) from the graph) and then to find the value of the coefficient a.

There is 1 question to complete.