8. Quadratics

8.01 Key features of quadratic functions

8.02 Solving quadratic equations by factoring

8.03 Completing the square

8.04 Solving quadratic equations using square roots

Investigation: Deriving the quadratic formula

8.05 Solve quadratic equations using the quadratic formula

8.06 Graphing quadratic functions

8.07 Transformations of quadratics

8.08 Quadratics in factored form

8.09 Quadratic functions and technology

8.09 Quadratics in vertex form

8.10 Applications of quadratic functions

8.11 Roots and zeros

8.12 Comparing exponential and quadratic functions

8.13 Systems of linear and quadratic equations

United States of America TX

Algebra 1

8.03 Completing the square

Interactive practice questions

Find the missing values in this perfect square:

$x^2+4x+\editable{}=\left(x+\editable{}\right)^2$x2+4x+=(x+)2

Easy

< 1min

What term must we add to complete the square on $x^2+10x$x2+10x?

Easy

< 1min

Determine the value of $c$c, the constant that should be added to $x^2-2x$x2−2x to make it a perfect square expression.

Easy

< 1min

Complete the following so that it forms a perfect square

Easy

< 1min

Outcomes

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)

A1.8.A

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

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