Sketching quadratics
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Lesson details
Key learning points
- In this lesson, we will learn how to sketch quadratics using intercepts of the y and x axis.
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7 Questions
Q1.
Fill in the gap: ________ is the opposite of expanding.
Increasing
Quadratics
Solving
Q2.
Factorise x² + 14x + 24.
(x+3)(x+8)
(x+5)(x+6)
(x+6)(x+4)
Q3.
Cala says that you cannot factorise x² -9x + 8 because there does not exist a pair of factors for 8 that add to give a negative number. Is she correct?
Yes, Cala is correct, there DOES NOT exist a pair of factors of 8 that add to give a negative number.
Q4.
Factorise x² - 3x - 10.
(x+3)(x-1)
(x+5)(x-2)
(x+5)(x+2)
Q5.
Factorise x² - 9x + 14.
(x-7)(x+2)
(x+7)(x-2)
(x+7)(x+2)
Q6.
Factorise x² - 36.
(x-6)²
(x-6)6
(x+6)²
Q7.
A quadratic expression x² + bx - 20 can be factorised. Find all the possible values for b when b is negative.
-1, -20, -2, -10, -5, -4
-20 to -1
-21, -12, -9
6 Questions
Q1.
Select the words that best fill in the gaps in order: The __________ is where the curve crosses the y axis, when _______.
x intercept, x=0
x intercept, y=0
y intercept, y=0
Q2.
What are the coordinates of where y= x² + 14x + 24 crosses the y axis?
(0, 10)
(0, 14)
(24, 0)
24
Q3.
Where does y = x² - 3x - 10 cross the y axis?
(-3, -10)
(10, 3)
(3, 10)
Q4.
Which graph could be a sketch of y=(x+4)(x-3)?
Option A
Option B
Option C
Q5.
Which graph could be a sketch of -x² + 3x - 2? Hint Try out some coordinates to check!
Option A
Option B
Option D
Q6.
Zaki says y = x² + 1 will never cross either axes. Is that correct?
Zaki is correct, the curve will never cross either axes.
Zaki is incorrect the curve wil cross the x axis only.
Zaki is incorrect the curve will cross BOTH axes.