Using the above table of values Plot the graph showing

Question

ScanSolve AI Tutor · Accepted Answer

To plot the graph for the equation y = x² + 4x − 10 using the given table of values, follow these steps: Step 1: Identify the coordinate points. From the table, the (x, y) coordinate pairs are: (−4, −10), (−3, −13), (−2, −14), (−1, −13), (0, −10), (1, −5), (2, 2), (3, 11) Step 2: Set up the coordinate axes. Draw a horizontal x-axis and a vertical y-axis on a graph paper. For the x-axis, choose a scale that accommodates values from at least −4 to 3 (e.g., 1 unit per grid square). For the y-axis, choose a scale that accommodates values from at least −14 to 11 (e.g., 2 units per grid square or 1 unit per grid square if space allows). Step 3: Plot each point. Locate and mark each of the coordinate pairs from Step 1 on your graph paper. For example, for the point (−4, −10), move 4 units to the left on the x-axis and 10 units down on the y-axis, then place a dot. Step 4: Draw the curve. Once all points are plotted, draw a smooth curve that passes through all the plotted points. Since this is a quadratic equation (y = x² + 4x − 10), the graph will be a parabola. The points to plot are: (−4, −10), (−3, −13), (−2, −14), (−1, −13), (0, −10), (1, −5), (2, 2), (3, 11)

Point	x	y
x-intercept	−5.74	0
Minimum	−2	−14
y-intercept	0	−10
x-intercept	1.74	0

Using the above table of values Plot the graph showing

Step-by-step solution

Identify the coordinate points.

Set up the coordinate axes.

Plot each point.

Draw the curve.

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