The correct answer is d) 4x² - 4x + 1.
The area of a square is found by squaring the side length:
(2x-1)² = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - 1(-1) = 4x² - 2x - 2x + 1 = 4x²-4x+1
The only equation that works with x=-6 is A
Answer:
see attached
Step-by-step explanation:
The equation is in the form ...
4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
vertex: (3, 4)
axis of symmetry: x = 3
focus: (3, 8) . . . . . 4 units up from vertex
directrix: y = 0 . . . horizontal line 4 units down from vertex
Answer:
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points