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2.07 Using quadratic functions

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.

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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

A parabola of the form $y=\left(x-h\right)^2+k$y=(xh)2+k is symmetrical about the line $x=2$x=2, and its vertex lies $3$3 units above the $x$x=axis.

Easy
2min
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Outcomes

1.1.7

examine examples of quadratically related variables

1.1.10

determine the equation of a quadratic given sufficient information

1.1.11

determine turning points and zeros of quadratics and understand the role of the discriminant

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