I can rewrite quadratic equations from standard to vertex and vice. Geometric transformations with matrices.
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Transformations of quadratic functions worksheet pdf. Being specific name 3 ways that a parabola changes with different types of a values. Solution step 1 first write a function h that represents the translation of f. Quadratic transformation worksheet complete all questions and hand in by the end of the period.
I can identify key characteristics of quadratic functions including axis of symmetry vertex min max y intercept x intercepts domain and range. Quadratic transformation worksheet name write the quadratic equation in vertex form for each graph. X intercepts are the x values where the parabola intersects the x axis.
Quadratic functions vocabulary quadratic function is a polynomial function with the highest degree of 2 for the variable x. Printable in convenient pdf format. Write the vertex form of a quadratic equation.
W u rapl olm sr mitgeh ktis o yrhe 7swelr yvrejdc. Use the description to write to write the quadratic function in vertex form. W 42 y01z20 2k guht xap us ho efjtswbafrmei 4l dl 8cb.
Writing equations of quadratic functions 8. Parabola is the graph of a quadratic function. H x f x 3 2 subtract 3 from the input.
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. Identify how each transformation affects a h and k.
Solution step 1 first write a function h that represents the translation of f. 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. What does changing the a variable do to the graph of a quadratic.
Transformations of quadratic functions transformations of functions transformation. I can graph quadratic functions in vertex form using basic transformations. 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.
A transformed function takes f x and performs. 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. 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.
Translations stretches and reflections are types of transformations. 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. Y intercept is the y value where the parabola intersects the y axis.
It can be written in the form y ax2 bx c.
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