smc-984-10-Quadratics

Functions, 2ADV F1 EQ-Bank 19

and are points on the parabola .

Given is parallel to , show (2 marks)

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Functions, 2ADV F1 EQ-Bank 17

The tangent to the parabola is where .

Find the value of . (2 marks)

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COMMENT: Key is to recognise this is a discriminant question, not a calculus application.

Functions, 2ADV F1 SM-Bank 25

Show that the parabola has at least one real root. (3 marks)

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Functions, 2ADV F1 2023 HSC 10 MC

The graph meets the line (where ) at points and as shown in the diagram. The length of the interval is .

Let be a positive number. The graph meets the line at points and .

What is the length of ?

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♦♦♦ Mean mark 24%.

Functions, 2ADV F1 2022 HSC 4 MC

Which of the following is the range of the function ?

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Functions, 2ADV F1 SM-Bank 23

Find the values of for which the expression is always positive. (3 marks)

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Functions, 2ADV F1 2017 HSC 2 MC

Which expression is equal to ?

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Functions, 2ADV F1 2016 HSC 11e

Find the points of intersection of and (3 marks)

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Functions, 2ADV F1 2007 HSC 1e

Factorise . (2 marks)

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Functions, 2ADV F1 2015 HSC 11b

Factorise fully . (2 marks)

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Functions, 2ADV F1 2006 HSC 1b

Factorise . (2 marks)

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Functions, 2ADV F1 2014 HSC 11b

Factorise . (2 marks)

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Functions, 2ADV F1 2010 HSC 1a

Solve . (2 marks)

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Functions, 2ADV F1 2011 HSC 1b

Simplify . (1 mark)

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Functions, 2ADV F1 2012 HSC 11a

Factorise (2 marks)

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STRATEGY: Check your answer by expanding factors.

Functions, 2ADV F1 2013 HSC 1 MC

What are the solutions of ?

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