Linear and Quadratics Equations Review

​Linear and Quadratics Review

By Jessica James

Graphing

Graph y = x

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Graph y = x - 4

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Graph y = x + 3

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Graph y = 2x

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Graph y = -2x

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Graph y = 1/3 x

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Graph y = -3 x

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Graph y = 2x + 3

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Graph y = - 0.5x + 6

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Graph y = 2

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Graph x = 3

Drag and Drop

Linear equations have the general formula y = mx + c. It describes the slope or gradient, indicated by the letter ​

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. When looking at the line from left to right, the slope indicates the graph goes up when it is ​

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and downwards when it is​

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. The letter ​

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represents the y-intercept. This represents the ​

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when x = 0.

Drag these tiles and drop them in the correct blank above

positive

negative

m

c

initial point

vertical

maximum point

uppies

horizontal

x - intercept

Categorize

Options (15)

rise/run

slope

m

Increase for every step across

Starting point

value of y when x =0

When it hits the vertical axis

Change in y over change in x

Steepness of the line

Initial value of the function

Point where the line crosses the x-axis

Value of x when y = 0

Horizontal axis intersection

Coordinates of the x-intercept are (x, 0)

c or b value (term added on the end)

Organize these options into the right categories

Gradient

Y-intercept

X - intercept

Quadratics Review

Graphing

Graph y = x²

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Graph y = x² + 1

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Graph y = x² -2

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Graph y = x² + 3

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Graph y = 2x²

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Graph y = 0.5 x²

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Graph y = 1/4 x²

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Graph y = - x²

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Graph y = - 0.5 x² + 10

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Graph y = (x - 1)²

Hint: if you aren't sure which way it slides, substitute a test x point. I.e. test, if x = 2, y = ?

Graphing

Graph y = (x - 2)²

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Graph y = (x - 5)²

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Graph y = (x + 1)²

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Graph y = (x + 3)²

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Graph y = (x + 3)² + 1

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Graph y = (x - 1)² + 2

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Graph y = (x + 1)² + 2

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Graph y = (x - 2)² - 3

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Graph y = (x + 2)² - 3

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Graph y = -(x + 2)² - 3

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Graph y = -(x + 2)² + 3

Dropdown

Given the formula y = a (x - h)² + k.
'a' is the

Select answer

, and the graph is a ∪ and ∩ shape when it is ​

Select answer

, respectively​. A bigger number makes the shape ​

Select answer

(h, k) is the ​

Select answer

, and describes the ​

Select answer

shift.