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The problem is based on a spreadsheet showing a quadratic function $y = x^2 + 2x - 5$. We need to answer the following: (i) What is the most suitable chart type to draw the graph? (ii) What formula should be entered into cell B2 to calculate the Y value? (iii) What is the formula in cell F2? (iv) After marking the data range A1:H2, what are the steps to draw the chart? (v) Which chart elements are needed to display the value of each point in the graph?

AlgebraQuadratic FunctionsSpreadsheetsGraphingFunctions
2025/7/20

1. Problem Description

The problem is based on a spreadsheet showing a quadratic function y=x2+2x−5y = x^2 + 2x - 5. We need to answer the following:
(i) What is the most suitable chart type to draw the graph?
(ii) What formula should be entered into cell B2 to calculate the Y value?
(iii) What is the formula in cell F2?
(iv) After marking the data range A1:H2, what are the steps to draw the chart?
(v) Which chart elements are needed to display the value of each point in the graph?

2. Solution Steps

(i) The most suitable chart type for plotting a function like y=x2+2x−5y = x^2 + 2x - 5 is a scatter plot or a line chart. A scatter plot shows the individual data points, while a line chart connects these points with a line, which is appropriate for visualizing the curve of the function. Given the choices, "scatter" and "line" are correct. The problem asks for the "most" suitable, so a "scatter" plot is generally preferred.
(ii) The formula to calculate the value of Y in cell B2, where X = -4 (from cell B1), would be:
y=(−4)2+2∗(−4)−5=16−8−5=3y = (-4)^2 + 2*(-4) - 5 = 16 - 8 - 5 = 3. The formula in the spreadsheet should reference cell B

1. So, the formula is:

`=B1^2 + 2*B1 - 5`
(iii) Cell F2 corresponds to X = 0 (from cell F1). The value of Y is:
y=(0)2+2∗(0)−5=−5y = (0)^2 + 2*(0) - 5 = -5.
So, the formula is:
`=F1^2 + 2*F1 - 5`
(iv) Steps to draw the chart after marking the data range A1:H2:

1. Select the data range A1:H

2.

2. Go to the "Insert" tab in the spreadsheet software.

3. Choose the "Scatter" or "Line" chart type from the chart options.

4. Select the desired subtype (e.g., Scatter with Smooth Lines).

5. The chart will be created based on the selected data.

(v) To display the value of each point in the graph as shown in the picture, you would select "Data Labels" under "Chart Elements".

3. Final Answer

(i) Scatter or Line
(ii) `=B1^2 + 2*B1 - 5`
(iii) `=F1^2 + 2*F1 - 5`
(iv)

1. Select A1:H

2.

2. Insert tab -> Scatter/Line Chart.

3. Select desired subtype.

(v) Data Labels

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