Let f: R → R be a quadratic function, such that ƒ(x) = 6x² + 4x – 2. Graph the function by applying the following steps: 1. Factorize the expression 3x² + 2x − 1. 2. Obtain the intersection with the x axis. (Use step 1 for that purpose.) 3. Obtain the intersection with the Y axis. 4. Obtain the axis of symmetry. 5. Evaluate the function in the axis of symmetry. 6. Determine the direction of the hump in the function (i.e., happy face or sad face).

Let f: R → R be a quadratic function, such that ƒ(x) = 6x² + 4x – 2. Graph the function by applying the following steps: 1. Factorize the expression 3x² + 2x − 1. 2. Obtain the intersection with the x axis. (Use step 1 for that purpose.) 3. Obtain the intersection with the Y axis. 4. Obtain the axis of symmetry. 5. Evaluate the function in the axis of symmetry. 6. Determine the direction of the hump in the function (i.e., happy face or sad face).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 50PFA

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A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?

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