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VCE 11 Methods 2023

2.08 Quadratic applications

Interactive practice questions

A parabola of the form $y=ax^2$y=ax2 goes through the point $\left(2,-4\right)$(2,4).

a

What is the value of $a$a?

b

What are the coordinates of the vertex?

Vertex $=$=$\left(\editable{},\editable{}\right)$(,)

c

Plot the graph of the parabola.

Loading Graph...
Easy
2min

Find the maximum value of $y$y for the quadratic function $y=-x^2+10x-25$y=x2+10x25.

Easy
2min

Which of these graphs represents a parabola of the form $y=\left(x-a\right)^2$y=(xa)2?

Easy
< 1min

Consider the graph.

Easy
2min
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Outcomes

U1.AoS1.5

the definition of a function, the concepts of domain (including maximal, natural or implied domain), co-domain and range, notations for specification of the domain, co-domain and range and rule of a function

U1.AoS2.2

substitution into, and manipulation of, these expressions

U1.AoS2.5

transformations of the plane and application to basic functions and relations by simple combinations of dilations (students should be familiar with both ‘parallel to an axis’ and ‘from an axis’ descriptions), reflections in an axis and translations (matrix representation may be used but is not required)

U1.AoS3.2

interpretation of graphs of empirical data with respect to rate of change such as temperature or pollution levels over time, motion graphs and the height of water in containers of different shapes that are being filled at a constant rate, with informal consideration of continuity and smoothness

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