How do you find the axis of symmetry and vertex in vertex form

👉 Learn how to graph quadratic equations by completing the square. 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. 'a' in the vertex equation signifies the stretch or compression of the quadratic graph. 'k' in the vertex signifies the number of units up or down the the graph of the quadratic equation is shifted.

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

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#Graphquadratics #quadratics #brianmclogan

[tenzuu]

Its almost 7 years and this vid just got 655 views. Honestly sir your channel grew a lot and you helped many students specially here in the Philippines. Our education system currently is almost all are modular im so happy to find vids that's easy to understand. It's hard to self study hahahaha

[lucylawrence]

you are such a legend for teaching me this!! definitely saving me for my maths exam block next week!!

[Botwboy]

You are awsome i watched this 10 years after it was posted and it still helped

[Whirlms]

my teacher couldnt teach this to me in an hour and a half.. but you did it in two minutes. thank you so much!