Graphing a quadratic with multiple transformations

👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either face up or down (if x is squared in the equation) or face left or right (if y is squared).

To graph a quadratic equation, we need to know some essential parts of the graph including the vertex and the transformations. The vertex of a parabola is the turning point of the parabola. It is the point on the parabola at which the curve changes from increasing to decreasing or vice-versa. The transformation can be a vertical/horizontal shift, a stretch/compression or a refection.

Given a quadratic equation in the vertex form i.e. y = a(x - h)^2 + k, the vertex of the parabola formed by the equation is given by (h, k). Knowing the vertex of the graph and the parent graph, we can then apply the required transformation to obtain the required graph.

'h' in the vertex signifies the number of units left or right the the graph of the quadratic equation is shifted. 'k' in the vertex signifies the number of units up or down the the graph of the quadratic equation is shifted.

Timestamps:
0:00 Intro
2:00 Start of Problem

Corrections:
3:37 I mistakenly said the wrong answer: -27 plus 4 is -23 not -21

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Organized Videos:
✅How to graph a Quadratic in Vertex Form
   • How to graph a Quadratic in Vertex Form  
✅Identify the Vertex of a Quadratic
   • Identify the Vertex of a Quadratic  
✅Complete the Square then Graph | Hard
   • Complete the Square then Graph | Hard  
✅Complete the Square then Graph | Easy
   • Complete the Square then Graph | Easy  
✅Graph a Quadratic in Vertex Form with Vertical Shift Only
   • Graph a Quadratic in Vertex Form with...  
✅Graph a Quadratic in Vertex Form with Stretch and Compression
   • Graph a Quadratic in Vertex Form with...  
✅Graph a Quadratic in Vertex Form with Horizontal Shift Only
   • Graph a Quadratic in Vertex Form with...  
✅Graph a Quadratic in Vertex Form | Learn about
   • Graph a Quadratic in Vertex Form | Le...  
✅Graph a Quadratic in Vertex Form with Horizontal and Vertical Shifts
   • Graph a Quadratic in Vertex Form with...  

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