Algebra and Functions 

Data Analysis 

SOL Review Materials 




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 
 SOL 7.15  a) solve one‐step inequalities; b) graph solutions on number line.
 SOL 8.15  b)solve two‐step linear
inequalities and graph results on
number line.
 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.
 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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