Topics
10. Quadratics
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United States of AmericaNY
Algebra I

10.08 Quadratics in vertex form

Lesson
Practice

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(x−h)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(x−h)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)=(x−3)2.

Easy
2min
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Outcomes

AI-A.SSE.3

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

AI-A.REI.4a

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)^2 = q that has the same solutions. Understand that the quadratic formula is a derivative of this process.

AI-F.IF.7

Graph functions and show key features of the graph by hand and by using technology where appropriate. ★

AI-F.IF.7a

Graph linear, quadratic, and exponential functions and show key features.

AI-F.IF.8

Write a function in different but equivalent forms to reveal and explain different properties of the function.

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