9514 1404 393
Answer:
axis of symmetry: x = 2
see below for a graph
Step-by-step explanation:
You can complete the square to put the equation in vertex form.
y = (x^2 -4x +4) -1 -4
y = (x -2)^2 -5 . . . . . . vertex is (2, -5)
The equation of the axis of symmetry is the equation of the vertical line through the vertex:
x = 2 . . . . . axis of symmetry
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Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.
Answer:
here is your answer in the picture..
Answer:
Assuming the problem asks to rotate counterclockwise: E' (0,0) F' (0,5) G' (-4,5) H' (-4,0)
If it says rotate clockwise then your points will be: E' (0,0) F' (0,-5) G' (4,-5) H' (4,0)
Step-by-step explanation:
Translate the points first by subtracting 3 from the x-coordinates of each, then subtracting 3 from the y-coordinates of each. Next, to rotate them counterclockwise about the origin 90 degrees, switch the x and y coordinates and the sign of the resulting x-coordinate. To rotate clockwise 90 degrees switch the x and y still but change the sign of the resulting y coordinate.
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:
a/c-b/c=(a-b)/c so you just have:
(2x-6)/(x-3) now if you factor 2 from the numerator
2(x-3)/(x-3) the (x-3)s cancel out leaving
2
However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)
What this all means is that that expression will equal 2 for all real values of x other than 3.
