Topics
3. Quadratic Equations, Functions & Polynomials
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United States of AmericaNJ
Algebra 1

3.18 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

A.SSE.B.3

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

A.SSE.B.3.B

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

F.IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.C.7.A

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

F.IF.C.8

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

F.IF.C.8.A

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

F.IF.C.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

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