I can identify key characteristics of quadratic functions including axis of symmetry vertex min max y intercept x intercepts domain and range. A change made to a figure or a relation such that the figure or the graph of the relation is shifted or changed in shape.
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The parent function f x x2 is reflected across the x axis vertically stretched by a factor of 6 and translated 3 units left to create g.
Transformations of quadratic functions worksheet pdf. Quadratic transformation worksheet name write the quadratic equation in vertex form for each graph. Quadratic transformation worksheet complete all questions and hand in by the end of the period. Use the description to write to write the quadratic function in vertex form.
Printable in convenient pdf format. Free algebra 2 worksheets created with infinite algebra 2. W 42 y01z20 2k guht xap us ho efjtswbafrmei 4l dl 8cb.
Identify how each transformation affects a h and k. What does changing the a variable do to the graph of a quadratic. Parabola is the graph of a quadratic function.
3 0 bmuaxdiei dwii kt5hx yion kfpiln vi3t ae7 5a ylng 9ebb vrjac i1 d k worksheet by kuta software llc kuta software infinite algebra 1 name graphing quadratic functions date period. W u rapl olm sr mitgeh ktis o yrhe 7swelr yvrejdc. Solution step 1 first write a function h that represents the translation of f.
A transformed function takes f x and performs. Write the vertex form of a quadratic equation. Solution step 1 first write a function h that represents the translation of f.
Translations stretches and reflections are types of transformations. X intercepts are the x values where the parabola intersects the x axis. I can graph quadratic functions in vertex form using basic transformations.
H x f x 3 2 subtract 3 from the input. Quadratic functions and inequalities properties of parabolas vertex form graphing quadratic inequalities factoring quadratic expressions solving quadratic equations w square roots. It can be written in the form y ax2 bx c.
H x f x 3 2 subtract 3 from the input. Writing equations of quadratic functions 8. I can rewrite quadratic equations from standard to vertex and vice.
Y intercept is the y value where the parabola intersects the y axis. Being specific name 3 ways that a parabola changes with different types of a values. Transformations of quadratic functions transformations of functions transformation.
Section 2 1 transformations of quadratic functions 65 writing a transformed quadratic function let the graph of g be a translation 3 units right and 2 units up followed by a refl ection in the y axis of the graph of f x x2 5x write a rule for g. Section 2 1 transformations of quadratic functions 51 writing a transformed quadratic function let the graph of g be a translation 3 units right and 2 units up followed by a refl ection in the y axis of the graph of f x x2 5x write a rule for g. Quadratic functions vocabulary quadratic function is a polynomial function with the highest degree of 2 for the variable x.
Geometric transformations with matrices.
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