SKETCH THE QUADRATIC FUNCTION WITH INTERCEPTS WORKSHEET

Using axes intercepts only, sketch the graphs of:

Problem 1 :

y = (x - 4) (x + 2)

Solution

Problem 2 :

y = -(x - 4)(x + 2)

Solution

Problem 3 :

y = 2(x + 3) (x + 5)

Solution

Problem 4 :

y = -3x(x + 4)

Solution

Problem 5 :

y = 2(x + 3)²

Solution

Problem 6 :

y = -1/4(x + 2)²

Solution

Answer Key

1)  x intercepts are (4, 0) and (-2, 0)

y-intercept (0, -8).

sketchwithxinterceptq1

2) x-intercepts are (4, 0) and (-2, 0)

y-intercept (0, 8).

sketchwithxinterceptq2.png

3) x-intercepts are (-3, 0) and (-5, 0).

y-intercept is (0, 30).

sketchwithxinterceptq3.png

4)  x-intercepts are (0, 0) and (-4, 0)

y-intercept is When x = 0, y = 0

sketchwithxinterceptq4.png

5)  x-intercept is (-3, 0)

y-intercept is (0, 18)

sketchwithxinterceptq5.png

6)  x-intercept is (-2, 0).

y-intercept is (0, -1).

sketchwithxinterceptq6.png

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