How to graph a parabola when given an equation in vertex form

👉 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.

👏SUBSCRIBE to my channel here: youtube.com/user/mrbrianmclogan?sub_confirmatio…

❤️Support my channel by becoming a member: youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/jo…

🙋‍♂️Have questions? Ask here: forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community: youtube.com/user/MrBrianMcLogan/community

Organized Videos:
✅How to graph a Quadratic in Vertex Form
youtube.com/playlist?list=PL0G-Nd0V5ZMpht5dmr5E…
✅Identify the Vertex of a Quadratic
youtube.com/playlist?list=PL0G-Nd0V5ZMoRLf4Sd1N…
✅Complete the Square then Graph | Hard
youtube.com/playlist?list=PL0G-Nd0V5ZMprnu6NjJj…
✅Complete the Square then Graph | Easy
youtube.com/playlist?list=PL0G-Nd0V5ZMqTGl0N6eL…
✅Graph a Quadratic in Vertex Form with Vertical Shift Only
youtube.com/playlist?list=PL0G-Nd0V5ZMpZfx78nH1…
✅Graph a Quadratic in Vertex Form with Stretch and Compression
youtube.com/playlist?list=PL0G-Nd0V5ZMouYj6AGlt…
✅Graph a Quadratic in Vertex Form with Horizontal Shift Only
youtube.com/playlist?list=PL0G-Nd0V5ZMqy35AkcmJ…
✅Graph a Quadratic in Vertex Form | Learn about
youtube.com/playlist?list=PL0G-Nd0V5ZMqDfzQEDgw…
✅Graph a Quadratic in Vertex Form with Horizontal and Vertical Shifts
youtube.com/playlist?list=PL0G-Nd0V5ZMrjzEHW-c_…

🗂️ Organized playlists by classes here: youtube.com/user/MrBrianMcLogan/playlists

🌐 My Website - freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: brianmclogan.com/email-capture-fdea604e-9ee8-43…

Connect with me:
⚡️Facebook - facebook.com/freemathvideos
⚡️Instagram - instagram.com/brianmclogan/
⚡️Twitter - twitter.com/mrbrianmclogan
⚡️Linkedin - linkedin.com/in/brian-mclogan-16b43623/

👨‍🏫 Current Courses on Udemy: udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: freemathvideos.com/about-me/

#Graphquadratics #quadratics #brianmclogan