y = 4x - 9
1) graph by using x- and y-intercept points (two points can determine a line).
if x = 0, then y = -9, the y-intercept
if y = 0, then x = 9/4 = 2 and 1/4, the x-intercept.
Plot the y-intercept point on the y-axis at y = -9.
On the x-axis, divide the third unit in 4 equal parts, take the first part, and plot the x-intercept there.
Connect the points with a straight line.
2) graph by using the y-intercept -9 and the slope of 4/1.
First, plot a point on the y-axis at y = -9.
From that point, move 4 units up and then 1 unit to the right to obtain another point. Continue like this as many times you want. Also, you can do the opposite. From the y-intercept point, move 4 units down and 1 unit to the left.
Connect the points with a straight line.
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