Algebra II: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

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Evaluating Piecewise Functions for Particular Inputs

       291–300 Given the piecewise function, evaluate as requested.

      291. Evaluate f(1) in

      292. Evaluate f(-1) in

      293. Evaluate f(2) in

      294. Evaluate f(0) in

      295. Evaluate f(–1) in

296. Evaluate f(–4) in

      297. Evaluate f(–5) in

      298. Evaluate f(51) in

      299. Evaluate f(0) in

      300. Evaluate f(4) in

Chapter 6

      Quadratic Functions and Relations

      A quadratic function is created from a quadratic expression — an expression with a variable raised to the second power. The graphs of quadratic functions look like U-shaped curves that open upward or downward. A quadratic relation may open left or right. The key to graphing a quadratic function or relation is to find its vertex, determine which way it opens, and find a point or two that can be used to sketch the curve.

The Problems You’ll Work On

      In this chapter, you’ll work with quadratic curves in the following ways:

       Determining the vertex and intercepts from the function rule

       Rewriting quadratic functions in the standard form for a parabola

       Sketching the graphs of parabolas

       Using quadratic functions and their properties to solve applications

What to Watch Out For

      Don’t let common mistakes trip you up; watch for the following when working with quadratic curves:

       Finding the opposite of the coefficient of b when solving for the coordinates of the vertex

       Watching for the correct direction of the parabola’s opening when sketching

       Performing completing the square correctly when rewriting the parabola’s equation in standard form

       Using the correct property of a parabola when solving an application

Determining the Vertex and Intercepts of a Parabola

       301–310 Find the intercept(s) and vertex of the parabola.

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Writing Equations of Parabolas in a Standard Form

      311–320 Write the equation of the parabola in the standard form . Then identify the vertex.

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