Algebra 2Trig Unit 1 Study Guide Name Date

Algebra 2/Trig Unit 1 Study Guide Name _____________ Date ________ Block ______ Section 5. 1 – Graphing Quadratics Vocabulary Quadratic function, parabola, Standard Form, Vertex Form, Intercept Form, vertex, maximum/minimum, axis of symmetry, y-intercept, x-intercept, roots, zeros, solutions, parent graph, transformations, horizontal shift, vertical shift, reflection across the x -axis, vertical stretch/shrink I. a) b) c) d) e) For each equation: Find the vertex and axis of symmetry. Find the y-intercept Find the x-intercepts, & verify using algebra Graph, by plotting at least 5 points Identify the transformations from the parent graph 1) 4) 2) 5) 3) 6) Section 5. 3 – Solve by Taking the Square Root Vocabulary Square root, radical, positive/negative solutions III. For each equation, find all real and imaginary solutions. Leave your answers in simplified radical form. 1) 4) 2) 5) 3) 6) Section 5. 5 – Solve by Competing the Square Vocabulary Perfect square trinomial, leading coefficient IV. For each equation, find all real and imaginary solutions. Leave your answers in simplified radical form. 1) 4) Vocabulary Binomial, trinomial, factors, difference of two squares, perfect square trinomial, factor by grouping 2) 5) II. For each equation, find all real solutions. Leave any non-integer answers as simplified fractions. 3) 6) Section 5. 2 – Solve by Factoring 1) 7) Section 5. 6 – Solve using the Quadratic Formula 2) 8) Vocabulary Discriminant, real root, imaginary root, Quadratic Formula 3) 9) V. For each equation, find all real and imaginary solutions. Leave your answers in simplified radical form. 4) 10) 1) 4) 5) 11) 2) 5) 6) 12) 3) 6)