These equations are already in vertex form. So, we can easily find the vertex of each equation.
f(x) = -(x-1)^2 - 2
Vertex: (1,-2)
The vertex in this equation is the maximum because it faces down (a=-1).
g(x) = (x+2)^2 + 1
Vertex: (-2,1)
The vertex in this equation is the minimum because it faces up (a=1).
Find how much it grew:
53 - 20 = 33 inches.
Divide the amount it grew by the original length
33/20 = 1.65
Subtract 1:
1.65 - 1 = 0.65
Multiply by 100 for percent:
0.65 x 100 = 65%
The percent increase is 65%
Answer:
Step-by-step explanation:
for missing angle of triangle ABC
let the missing angle be y
31+111+x=180(sum of interior angle of a triangle is 180 degree)
142+y=180
y=180-142
y=38 degree
x=y(being alternate angles)
x=38 degree
Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²
Now the equation is in the form (x - h)² + (y - k)² = r²
Radius = 10
In a graph the roots of the function are given by the cut points with the x axis.
On the other hand, we have the following equation:
y = -x2 - x + 6
To find the roots, we equate to zero:
-x2 - x + 6 = 0
Rewriting we have:
x2 + x - 6 = 0
(x-2) (x + 3) = 0
The roots are:
x1 = 2
x2 = -3
Answer:
The roots are:
x1 = 2
x2 = -3
