This is rhw question solve it on a graph like sheet so I will just copy it on NY own reak graph sheet and male it very neat

Mathematics

ScanSolve AI Answer

Answer

y=xy = x

Step-by-step solution

4 steps

Here are the steps to plot the graphs and find the line of symmetry, formatted for you to easily transfer to your graph sheet.

  1. Create a table of values for the function y=2x+1y = 2x + 1.

    Choose integer values for xx to get clear points.

    xy=2x+1(x,y)−22(−2)+1=−3(−2,−3)−12(−1)+1=−1(−1,−1)02(0)+1=1(0,1)12(1)+1=3(1,3)22(2)+1=5(2,5)\begin{array}{|c|c|c|} \hline x & y = 2x + 1 & (x, y) \\ \hline -2 & 2(-2) + 1 = -3 & (-2, -3) \\ -1 & 2(-1) + 1 = -1 & (-1, -1) \\ 0 & 2(0) + 1 = 1 & (0, 1) \\ 1 & 2(1) + 1 = 3 & (1, 3) \\ 2 & 2(2) + 1 = 5 & (2, 5) \\ \hline \end{array}

  2. Create a table of values for the function y=x−12y = \frac{x-1}{2}.

    Choose values for xx that make (x−1)(x-1) an even number to get integer or half-integer yy values.

    xy=x−12(x,y)−3−3−12=−2(−3,−2)−1−1−12=−1(−1,−1)11−12=0(1,0)33−12=1(3,1)55−12=2(5,2)\begin{array}{|c|c|c|} \hline x & y = \frac{x-1}{2} & (x, y) \\ \hline -3 & \frac{-3-1}{2} = -2 & (-3, -2) \\ -1 & \frac{-1-1}{2} = -1 & (-1, -1) \\ 1 & \frac{1-1}{2} = 0 & (1, 0) \\ 3 & \frac{3-1}{2} = 1 & (3, 1) \\ 5 & \frac{5-1}{2} = 2 & (5, 2) \\ \hline \end{array}

  3. Plot the graphs on your graph sheet.

    • Draw a horizontal x-axis and a vertical y-axis, making sure they cross at the origin (0,0)(0,0).
    • Label your axes 'x' and 'y'.
    • Choose a suitable scale for both axes, for example, 1 cm (or one large square) representing 1 unit. Mark the numbers along the axes.
    • Plot the points from the first table for y=2x+1y = 2x + 1. Once plotted, use a ruler to draw a straight line through these points. Label this line as y=2x+1y = 2x + 1.
    • Plot the points from the second table for y=x−12y = \frac{x-1}{2}. Use a ruler to draw a straight line through these points. Label this line as y=x−12y = \frac{x-1}{2}.

  4. Determine the equation of the line of symmetry.

    Observe the relationship between the two graphs. They are reflections of each other across a specific line. This line passes through points like (0,0)(0,0), (1,1)(1,1), (−1,−1)(-1,-1), etc. This is the line y=xy=x.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QHow do i plot this on graph paperQHow will you draw the graphQYes plot it on a graphQCan u help me sketch a graphQDo you know how to plot graph on a graph sheet?
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp