Topics
8. Quadratics
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United States of AmericaTX
Algebra 1

8.09 Quadratic functions and technology

Lesson
Practice

Interactive practice questions

Use your calculator or other handheld technology to graph $y=4x^2-64x+263$y=4x2−64x+263.

Then answer the following questions.

a

What is the vertex of the graph?

Give your answer in coordinate form.

The vertex is $\left(\editable{},\editable{}\right)$(,)

b

What is the $y$y-intercept?

Give your answer in coordinate form.

The $y$y-intercept is $\left(\editable{},\editable{}\right)$(,)

Easy
1min

Use your calculator or other handheld technology to graph $y=4x^2+48x+135$y=4x2+48x+135.

Then answer the following questions.

Easy
1min

Use your calculator or other handheld technology to graph $y=-4x^2-48x-140$y=−4x2−48x−140.

Then answer the following questions.

Easy
1min

Use your calculator or other handheld technology to graph $y=-3x^2+12x-13$y=−3x2+12x−13.

Then answer the following questions.

Easy
1min
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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)

A1.6.C

Write quadratic functions when given real solutions and graphs of their related equations

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

A1.7.B

Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

A1.7.C

Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d

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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