The inequality ( y < 8 ) is represented by a horizontal line at ( y = 8 ) with a dashed line, indicating that points on the line are not included in the solution. The area below this line represents the solution set, where all points have a ( y )-value less than 8. Therefore, any graph depicting this with the correct shading below the dashed line would accurately represent the inequality.
To graph the equation (y = 8), draw a horizontal line across the y-axis at the point where (y = 8). This line will extend infinitely in both the positive and negative x-directions. The graph represents all points where the value of (y) remains constant at 8, regardless of the value of (x). Make sure to label the line appropriately on your graph.
It seems there might be a typo in your question. If you meant to ask about the inequality ( x < 8 ), the graph would be a number line with an open circle at 8, indicating that 8 is not included, and shading to the left to show all numbers less than 8. In interval notation, this is expressed as ( (-\infty, 8) ). If you meant something else, please clarify!
-8
It would be 120 degrees.
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
8
22
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
It seems there might be a typo in your question. If you meant to ask about the inequality ( x < 8 ), the graph would be a number line with an open circle at 8, indicating that 8 is not included, and shading to the left to show all numbers less than 8. In interval notation, this is expressed as ( (-\infty, 8) ). If you meant something else, please clarify!
b
-8
Graph 3
It would be 120 degrees.
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
o9
4 < x < 20
the answer is -8<x<8.