Part A: (n^2-6n)+16
[(n^2-6n+9)-9]+16
(n-3)^2+7
Part B: From the above result,
Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive
Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3
Hope this helps!
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope =
(flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope =
(flip the sign from - to +, and flip the fraction)
y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is
or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5
Answer:
2 ( 2x+3) (2x-3)
Step-by-step explanation:
8x^2-18Factor out the greatest common factor of 2
2( 4x^2 -9)
2 ( (2x)^2 - 3^2)
What is inside the parentheses is the difference of squares
a^2 - b^2 = (a+b)(a-b)
2 ( 2x+3) (2x-3)
It will be 9x + 1 = 12x + 20.
The answer you’ll put in the box is 1, because it doesn’t ask you to solve for x, just fill in the number.