Topics
8. Quadratics
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Algebra 1

8.09 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

A1.6.A

Determine the domain and range of quadratic functions and represent the domain and range using inequalities

A1.6.B

Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c)

A1.7.A

Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

A1.8.A

Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

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