Construct a table of values of y = x 2 - 2 x + 2 for - 1 ≤ x ≤ 3 and plot the graph.

Given, y = x 2 - 2 x + 2 To plot the graph of a quadratic equation, Complete the table of values Rule the axes and label them Plot the ( x , y ) values from the table of values Join the points with a smooth curve. Here is a table of values for y from - 1 ≤ x ≤ 3 x - 1 0 1 2 3 y = x 2 - 2 x + 2 5 2 1 2 5 Now, plotting the points as given in the table, we obtain the graph as below.

Complete this table of values and then plot the graph of y = x 2 - 5 x - 4 x - 2 - 1 0 1 2 3 4 5 6 x 2 4 - 5 x 10 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 y

Given, y = x 2 - 5 x + 4 To plot the graph of a quadratic equation, Complete the table of values Rule the axes and label them Plot the ( x , y ) values from the table of values Join the points with a smooth curve. Substituting the values of - 2 ≤ x ≤ 6 for y = x 2 - 5 x - 4 , we obtain the table as below. x - 2 - 1 0 1 2 3 4 5 6 x 2 4 1 0 1 4 9 16 25 36 - 5 x 10 5 0 - 5 - 10 - 15 - 20 - 25 - 30 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 y 10 2 - 4 - 8 - 10 - 10 - 8 - 4 2 Now, plotting the points as given in the table, we obtain the graph as below.

Construct a table of values of y = x 2 + 2 x - 3 from - 3 ≤ x ≤ 2 and plot the graph.

Given, y = x 2 + 2 x - 3 To plot the graph of a quadratic equation, Complete the table of values Rule the axes and label them Plot the ( x , y ) values from the table of values Join the points with a smooth curve. Here is a table of values for y from - 3 ≤ x ≤ 2 x - 3 - 2 - 1 0 1 2 y = x 2 + 2 x - 3 0 - 3 - 4 - 3 0 5 Now, plotting the points as given in the table, we obtain the graph as below.

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Upper Secondary: IGCSE

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What happens to the graph when the value of the constant term changes?

Important Questions on Curved Graphs

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 1

Construct a table of values of $y = x^{2} - 2 x + 2$ for $- 1 \leq x \leq 3$ and plot the graph.

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 2

Complete this table of values and then plot the graph of $y = x^{2} - 5 x - 4$

$x$	$- 2$	$- 1$	$0$	$1$	$2$	$3$	$4$	$5$	$6$
$x^{2}$	$4$
$- 5 x$	$10$
$- 4$	$- 4$	$- 4$	$- 4$	$- 4$	$- 4$	$- 4$	$- 4$	$- 4$	$- 4$
$y$

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 3

Construct a table of values of $y = x^{2} + 2 x - 3$ from $- 3 \leq x \leq 2$ and plot the graph.

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 4

Using values of $x$ from $0$ to $4$ , construct a table of values and plot the graph of $y = - x^{2} - 4 x$

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 5

Using values of $x$ from $- 6$ to $0$ , construct a table of values and plot the graph of $y = - x^{2} - 6 x - 5$

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 6

People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. What was the greatest height (in metres) reached by the water arc.

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 6

People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. How long (in seconds) did it take the water to reach the greatest height?

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MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.2>Q 6

People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. For how long was the water arc above a height of $2.5 m$ .

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What happens to the graph when the value of the constant term changes?

Important Questions on Curved Graphs

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