5.1 Graphing Quadratic Functions 5.2 Solving Quadratic Equations by Factoring 5.3 Solving Quadratic Equations by Finding Square Roots 5.4 Complex Numbers 5.5 Completing the Square 5.6 The Quadratic Formula and the Discriminant 5.7 Graphing and Solving Quadratic Inequalities 5.8 Modeling with Quadratic Functions. Chapter Resources:
Quadratics Review Perform the given operation and write the complex number in standard form. 1. (30−𝑖)−(18+6𝑖)+30𝑖 2. (−1−𝑖)+9−3𝑖) 3. (12−9𝑖)−17+2𝑖) 4. 7+5𝑖)(7−5𝑖) 5. (3+2𝑖)2 6. −3𝑖(8−5𝑖) 7. −5−3𝑖 −4+2𝑖 8. −7 3−𝑖 Solve the quadratic equation by factoring. 9. 2 2−5 =12 10. 8 2+17 +9=0
Solving Quadratic Equations:Graphing. Objective: To solve quadratic equations and systems that contain a quadratic equation by graphing. When the graph of a function . intersects the x-axis, the . y-value of the function . is . 0. Therefore, the solutions of the quadratic equation . ax. 2 + bx + c = 0. are the . x-intercepts. of the graph. Also ...
Algebra Review Worksheet Quadratic Functions Section: Name: Mr. Lin 2 d. Exercise: Tell whether each parabola opens upward or downward and whether the y-coordinate of the vertex is a maximum or minimum. i. y = 0.2x2 opens _____ y-coordinate of the vertex is a _____ ii. y = -0.5x2 opens _____ y-coordinate of the vertex is a _____
Graphing Quadratics Review Worksheet Name _____ Fill in each blank using the word bank. 1. Standard form of a quadratic function is y = _____ 2. The shape of a quadratic equation is called a _____ 5. When the vertex is the highest point on the graph, we call that a _____. 6.
Mar 06, 2018 · 2. Solving Quadratic Equations by Completing the Square. For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.
Free Algebra 2 worksheets created with Infinite Algebra 2. Printable in convenient PDF format. ... Review of linear equations ... Solving quadratic equations by factoring