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10.08 Quadratics in vertex form

Interactive practice questions

What is the point $\left(h,k\right)$(h,k) on the parabola defined by the equation $y=a\left(x-h\right)^2+k$y=a(xh)2+k?

$y$y-intercept

A

Vertex

B

Axis of symmetry

C

$x$x-intercept

D
Easy
< 1min

For an equation of the form $y=a\left(x-h\right)^2+k$y=a(xh)2+k, what is the least number of points required to graph the curve?

Easy
< 1min

Consider the equation $y=\left(x+1\right)^2$y=(x+1)2.

Easy
3min

Consider the quadratic function $f\left(x\right)=\left(x-3\right)^2$f(x)=(x3)2.

Easy
2min
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Outcomes

A-SSE.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A-SSE.3.b

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

F-IF.7*

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. *Linear, exponential, quadratic, absolute value, step, piecewise defined

F-IF.7.a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

F-IF.8*

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. *Limited to linear, exponential, quadratic, absolute value, step, piecewise defined

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