Quadratic Function Vertex Formula

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Quadratic Function Vertex Formula

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The Vertex Formula Plane Math Quadratics Vertex

Finding the vertex of the quadratic by using the equation x b 2a and then substituting that answer for y in the orginal equation Then substitute the vertex into the vertex form equation y a x h 2 k 𝑦 = 𝑎 (𝑥 − ℎ)² + 𝑘 (𝑥 − ℎ)² ≥ 0 for all 𝑥 So the parabola will have a vertex when (𝑥 − ℎ)² = 0 ⇔ 𝑥 = ℎ ⇒ 𝑦 = 𝑘 𝑎 > 0 ⇒ (ℎ, 𝑘) is the minimum point. 𝑎 < 0 ⇒ (ℎ, 𝑘) is the maximum point.

Vertex Form InertiaLearning

Quadratic Function Vertex FormulaQuadratic Equations in Vertex Form have a general form: #color (red) (y=f (x)=a (x-h)^2+k#, where #color (red) ( (h,k)# is the #color (blue) ("Vertex"# Let us consider a quadratic equation in Vertex Form: #color (blue) (y=f (x)= (x-3)^2+8#, where #color (green) (a=1; h=3; k=8# Hence, #color (blue) ("Vertex "= (3, 8)# Graphing a Quadratic Function in Vertex Form 1 Start with the function in vertex form y a x h 2 k y 3 x 2 2 4 2 Pull out the values for h and k If necessary rewrite the function so you can clearly see the h and k values h k 3 The line x h is the axis of symmetry Draw

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