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7.02 Key features of quadratic graphs

Adaptive
Worksheet

Interactive practice questions

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Loading Graph...
A parabola facing upward on a coordinate plane with the turning point at (-4,0)

 

a

What is the absolute minimum of the graph?

b

Hence determine the range of the function.

$y\ge\editable{}$y

c

Over what interval of the domain is the function decreasing?

$x<\editable{}$x<

Easy
< 1min

Consider the equation $y=\left(x-2\right)^2$y=(x2)2.

Easy
2min

Consider the equation $y=\left(x-5\right)^2-9$y=(x5)29.

Easy
3min

Consider the function $y=x^2-6x+5$y=x26x+5.

Easy
2min
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Outcomes

MA.912.AR.3.7

Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.

MA.912.F.1.2

Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.

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