-- With your pencil, make a small dot at the point on the y-axis where [ y= -6 ].
-- With your pencil and your ruler, draw a straight line through that point that
slopes up from left to right at an angle of 45 degrees.
If you have difficulty estimating 45 degrees, you can mark a second point with a dot,
and then draw the straight line through the twopoints.
Find the second point like this:
-- With your pencil, make a small dot at the point on the x-axis where [ x = 6 ].
The graph shifts downward (negative y) by 9 units.
3
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
-7
12
No translation will invert a quadratic graph.
The graph shifts downward (negative y) by 9 units.
First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.
y= -5
3
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.
y=x+1 there for answer is 2
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
-7
12
1
-2