Quadratic Graphs y = x2 + 2x - 2

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Presentation transcript:

Quadratic Graphs y = x2 + 2x - 2 Remember that -2 in the equation is the intercept so it will run through x -3 -2 -1 1 2 x2 2x y -2 -2 -2 -2 -2 -2

Now let’s multiply each value of x by 2 to find the values of 2x Quadratic Graphs Note: - X - = + So -22 = -2 X -2 = 4 Use it to find the values of x2 y = x2 + 2x - 2 x -3 -2 -1 1 2 x2 2x y 9 4 1 1 4 -6 -4 -2 2 4 Now let’s multiply each value of x by 2 to find the values of 2x + X - = - so 2 X -3 =-6

Quadratic Graphs y = x2 + 2x - 2 To find the values of y, we must sum all the values of x2, 2x and -2. Be careful with the negative signs. x -3 -2 -1 1 2 x2 9 4 2x -6 -4 y 1 -2 -3 -2 1 6

Quadratic Graphs y = x2 + 2x - 2 x -3 -2 -1 1 2 x2 9 4 2x -6 -4 y 6 1 2 x2 9 4 2x -6 -4 y 6 y = x2 + 2x - 2 Plot the values of x and y on the grid and join the points with smooth curve.

Quadratic Graphs More negative values y = x2 – 3x - 2 x -1 1 2 3 4 x2 -3x -2 y Remember that -2 in the equation is the intercept so it will run through 1 0 1 4 9 16 -2 -2 -2 -2 -2 -2 Note: - X - = + So -12 = -1 X -1 = 1 Use it to find the values of x2. These are just the ordinary square numbers.

Quadratic Graphs More negative values y = x2 – 3x - 2 x -1 1 2 3 4 x2 9 16 -3x -2 y Multiply each value of x by -3. - X - = + - X + = - 3 -3 -6 -9 -12 2 -2 -4 -4 -2 2 To find the values of y, we must sum all the values of x2, 2x and -2. Be careful with negative signs. .

Quadratic Graphs More negative values y = x2 – 3x - 2 x -1 1 2 3 4 x2 9 16 -3x -3 -6 -9 -12 -2 y -4 y = x2 – 3x - 2 Plot the values of x and y on the grid and join the points with smooth curve