You draw a straight line and place 2 points (tick marks) on this line indicating 0 and 3.
0 should be to the left of 3.
Now that the direction of your axis is determined, you make a SOLID POINT over top of 3 and then BOLD in the line as it moves from that solid point, back toward the 0 and beyond the 0.
A line must exist from Negative Infinity and the end by connecting to the solid point you placed on 3.
y = x2
Maybe a pt is a point on a graph (x,y)
x < y : x is less than y.x ≤ y : x is less than or equal to y. x > y : x is greater than y.x ≥ y : x is greater than or equal to y.
11
The graph is translated upwards.
You can do the equation Y 2x plus 3 on a graph. On this graph the Y would equal 5 and X would equal to 0.
You could not graph (y-x-2) because it has no equal sign in it. In order to graph an equation, there must be a value that the numbers and variables are equal to. (e.g. y=2x+3)
4
y-3x-3 y=3x+3 A line with a slope of 3 crossing the y-axis at 3.
The y-intercept on the graph shows where the graph crosses the y-axis. The value is always the value of y at that point, because x is always equal to zero.
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.
To graph this in Cartesian coordinates start by solving the inequality for either x or y: y --less than or equal to-- 3-x/3 Now, if this were not an equality we would have y=3-x/3 this equation would yield a linear graph with a slope of -1/3 and a y intercept of 3 But the graph for the inequality must also could include all of the points (x,y) below this line so we end up with not a line but an entire region. so right now in your head picture the line y=3-x/3. now color in the region below the line. this is the region where y is less than 3- x/3 and the line its self accounts for y=3-x/3.
-3
how you get x to equal y. it is usually in a graph
the y value of the lowest point on the lowest graph of a function is (o) which is further equal to y being more than or equal to x.where this is said to be a straight line .
y >= -3 + xThis is the same asy>= x-3Start off by sketching the regular graph of y=x-3 (should look the same as the graph of y=x but shifted down 3 places so that the y intercept is at the point (0,-3)).Now just shade the half of the graph where y is greater (so shade in the positive direction for y above the graph of the line).In the end you should have the graph of a diagonal line shaded over the top.***Note: You will draw your graph with a solid line because because the question says GREATER THAN OR EQUAL TO. If you ever get a graph that is strictly greater than or strictly less than, instead of drawing a solid line, draw a dotted line, to show that you're not including the values where y is equal to your function.If you get y> shade in the positive y direction and use a dotted line.................y< shade in the negative y direction and use a dotted line.................y>= shade in the positive y direction and use a solid line.................y
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.