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Henrico County Public Schools, Virginia
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 Algebra and Functions Data Analysis SOL Review Materials Frequently Asked Questions
The student will use knowledge of transformations to write an equation, given the graph of a function (linear, quadratic, exponential, and logarithmic).
 Essential Knowledge and Skills Write an equation of a line when given the graph of a line. Recognize graphs of parent functions for linear, quadratic, exponential and logarithmic functions. Write the equation of a linear, quadratic, exponential, or logarithmic function in (h, k) form given the graph of the parent function and transformation information. Describe the transformation from the parent function given the equation written in (h, k) form or the graph of the function. Given the equation of a function, recognize the parent function and transformation to graph the given function. Recognize the vertex of a parabola given a quadratic equation in (h, k) form or graphed. Describe the parent function represented by a scatterplot. Essential Understandings Knowledge of transformational graphing using parent functions can be used to generate a mathematical model from a scatterplot that approximates the data. Transformations include: Translations (horizontal and vertical shifting of a graph) Reflections Dilations (stretching and compressing graphs) and Rotations The equation of a line can be determined by two points on the line or by the slope and a point on the line.
Vertical Articulation
1. SOL 7.15 - a) solve one‐step inequalities; b) graph solutions on number line.
2. SOL 8.15 - b)solve two‐step linear inequalities and graph results on number line.
3. SOL A.6 - graph linear equations/linear inequalities (2 vars) ‐ a) determine slope of a line given the equation of a line/graph of a line or two points on line ‐ slope as rate of change; b) write equation of a line given graph of line/two points on line or slope and point on line.
4. AII.6 - recognize general shape of function (abs val/sq root/cube root/rational/poly/exp/log) families, convert between graphic and symbolic forms of functions ‐ transformational approach to graphing.
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