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

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

Connect with me:

#Graphquadratics #quadratics #brianmclogan

[wuznab]

Something about sitting in a desk with 30+ people and a teacher shoving stuff in your mind, just doesn’t work.
But somehow being on your bed drinking some star bucks watching a 10 minute video works.

[arnavkaul]

Holy man I wish I had a teacher like you, so calm and breaks everything down so simply

[deadaccount]

you explained something in seconds that my teacher couldn't make me understand after explaining it 50 times. I'm definitely going to be using your videos from now on.

[kelvinle]

I think u wrong because -27+4=-23 but u said -21:))

[becasartori]

After three weeks of going through this module I was finally able to learn and understand the day before my test. You saved my grade.

[thatrecord]

This teacher is far better than my teacher today! Thank you very much!

[readyaimfire]

It's funny cause my teacher explained this all to me like 3 times, but I took in nothing. Somehow watching this video in the comfort of my room helped me absorb every detail lol. Thanks so much!

[Joel-rtn]

I have my Algebra 1 EOC in 2 hours, you've literally taught me how to understand parabolas in 30 mins. We've been studying this for 2 months and mt teacher still hasn't been able to explain it properly, the other day she told us out of 40 of her students, 11 are failing. I'd kill to have a teacher as good as you, thank you for everything you've taught us

[randomroze]

You just saved my life! My teacher was so chaotic while teaching us this and I was lost the entire time. Thank you so much!👍

[kristinnormanton]

I'm from a completely different country and my teacher could never explain this to me as well as you have !!!

[haydeeholliday]

The explanation of -3 was spot on, thanks!!!

[cindymunera]

Very useful! Thank you so much! I love your channel and I use it frequently. Thumbs up!

[trishpaytas]

how do i still not understand.... i have a small brain i stg

[Danny-ofsz]

I got lost at the end lol, but this is the video I was looking for so I will keep rewatching. Thanks!!

[sinzsuperior]

After being confuses for a whole week, I watched this video and realised that this was so easy. Now i just need to memorize the transformations

[CarsynKoenig]

You are such a good teacher I’m going to start watching your lessons before my teacher teaches me

[kathleenfuchik]

You’re a literal angle on earth. Thank you for making math so easy

[Karen-ttdt]

just learned what was taught in 20 minutes in only 5 minutes! Thank You!!

[ROYALSPELLS]

I couldn’t understand it when we were learning it during class and I was worried because we had a quiz soon. Thank you so much for explaining it clearly it really helped me finally understand it!

[MikeMike-ycgg]

Love your videos, I've always sucked at mathematics and having teachers who over complicate things doesn't help, man your such a blessing...and further prove that with an awesome and patient teacher. ANYBODY can learn ANYTHING .Thank you for being such an essential part of my Journey of Conquering Mathematics!