Quadratic functions & equations
20 videos
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Algebra 1 - Quadratic Functions & Equations: What You Need to Know
An introduction to quadratic functions, explaining parabolas, vertices, zeros, and real-world applications like basketball arcs and profit calculations.
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Algebra 1 - Anatomy of a Parabola: Vertex, Axis of Symmetry & Intercepts
Learn the five key features of parabolas: vertex, axis of symmetry, direction, x-intercepts, and y-intercept with clear visual examples.
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Algebra 1 - Reading a Quadratic Graph in Context
Learn how to interpret quadratic graphs using a water balloon example. Understand y-intercept, vertex, and x-intercept meanings in real-world contexts.
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Algebra 1 - The Three Forms of Quadratic Functions
Learn how three forms of quadratic equations reveal different key features: standard form shows y-intercept, factored form shows zeros, and vertex form shows the vertex.
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Algebra 1 - Zero Product Property: If ab = 0, Then...
Learn the zero product property: if a×b=0, then a=0 or b=0. Apply it to solve quadratic equations and find x-intercepts on graphs.
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Algebra 1 - Graphing Quadratics in Factored Form
Learn to graph quadratic equations in factored form by finding x-intercepts, calculating the vertex using the midpoint, and plotting a parabola.
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Algebra 1 - Rocket Launch: Factored Form Word Problem
Learn how factored form of quadratic equations reveals zeros and vertex. A rocket example shows how to find when it hits the ground and its maximum height of 125 meters.
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Algebra 1 - Vertex Form: Read the Vertex Instantly
Learn how vertex form of a quadratic equation reveals the vertex coordinates instantly. Understand y = a(x-h)² + k where (h,k) is the vertex, with examples and sign considerations.
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Algebra 1 - Graphing from Vertex Form: Step by Step
Learn how to quickly sketch a parabola from vertex form by identifying the vertex, finding one point, using symmetry, and drawing the graph in under a minute.
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Algebra 1 - Solving Quadratics by Taking Square Roots
Learn how to solve quadratic equations using square roots, including the critical plus-or-minus step that reveals both solutions.
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Algebra 1 - Solving Quadratics by Factoring
Learn how to solve quadratic equations by factoring. This step-by-step guide shows how to find two numbers that add and multiply to specific values, then use the zero product property.
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Algebra 1 - Completing the Square: The Technique
Learn the completing the square technique: take half the x coefficient, square it, and add it to transform any quadratic into a perfect square form.
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Algebra 1 - Solving Equations by Completing the Square
Learn how to solve quadratic equations that don't factor nicely using the completing the square method, with step-by-step examples and visual verification.
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Algebra 1 - The Quadratic Formula
Learn the quadratic formula, a universal method to solve any quadratic equation by plugging in coefficients a, b, and c. Discover why it always works and how to apply it.
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Algebra 1 - Using the Quadratic Formula: Worked Example
Learn how to solve quadratic equations using the quadratic formula with a step-by-step example, including tips on avoiding common mistakes with negative signs.
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Algebra 1 - The Discriminant: How Many Solutions?
Learn how the discriminant (b²-4ac) predicts the number of solutions a quadratic equation has without solving it. Positive means two solutions, zero means one, negative means none.
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Algebra 1 - Graphing Quadratics in Standard Form
Learn to graph quadratics in standard form by finding the vertex using -b/2a, identifying the y-intercept, and using symmetry to plot the parabola.
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Algebra 1 - Quadratic Word Problems: Picking the Right Approach
Learn how to use vertex form of a parabola to solve a water fountain problem, finding maximum height and landing time by identifying the vertex and solving for zeros.
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Algebra 1 - Which Solving Method Should You Use?
Learn to choose the fastest method for solving quadratics: square roots, factoring, completing the square, or the quadratic formula based on equation form.
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Algebra 1 - Shifting and Transforming Parabolas
Learn how parabolas transform using vertex form y=a(x-h)²+k. Understand how a, h, and k control shape, direction, and position of any parabola from y=x².