Can someone explain and answer
2 answers:
Answer:
D. y = -2x + 20
Step-by-step explanation:
first, plot these points on a linear graph.
work down from the top:
A. y = 2x <u>+ 5</u>
look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5
y = <u>2x</u> + 5
From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)
B. y = 2x <u>- 6</u>
the last number means the first point will be on -6 on the y axis.
y = <u>2x</u> - 6
the 2x means that every 1 square you go across (to the right) from that point, you will move up 2
C. y = 2x
as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2
D. y = -2x <u>+ 20</u>
the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move <u>DOWN</u> 2.
this is the only line that moves down from left to right
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Given:
The points where the graph crosses the <em>x</em>-axis are -1 and 3.
The point where the graph touches the <em>x</em>-axis is at 5.
The objective is to find the correct equation of the function.
Explanation:
The equation representing the point <em>x</em> = -1, crossing the <em>x</em>-axis can be represented as,
Similarly, the equation representing the point <em>x</em> = 3, crossing the <em>x</em>-axis can be represented as,
Similarly, the equation representing the point <em>x</em> = 5, touching the <em>x</em>-axis can be represented as,
By combining all the equations of the graph, the function can be represented as,
Hence, option (B) is the correct answer.