How to Graph Quadratic Functions (Standard Form, Vertex Form & Intercept Form)

Learn how to graph quadratic functions in the standard form, vertex form, and intercept form in this video math tutorial by Mario's Math Tutoring. We go through 13 examples involving transformations such as reflections, vertical stretches and vertical shrinks as well as translations. We also discuss how to find the vertex, axis of symmetry, domain, rangeland the maximum or minimum of the graph. Here are the forms we discuss:
y=x^2,
y=ax^2,
y=ax^2 + c,
y=ax^2 + bx + c,
y=a(x-h)^2 + k,
y=a(x-p)(x-q)
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[@jessicachen4742]

The sun rises and sets on Mario's math tutoring

[@DRMath]

Well explained!! This is one of the topic for SAT math prep too! Student might see problem on this topic on SAT math section! Student should understand what those constants and coefficient do to the graph, like the vertical shift and horizontal shift and how value of a can make the graph wider or narrower!! Happy Teaching ✌️✌️

[@nicolejajaja2199]

I never understood this until now, thank you

[@sayidakhrormukhamedov2035]

i love u. the best teacher ever and way much better than khan academy. u doing a great job

[@MariosMathTutoring]

Thank you!

[@kvsrajeev]

You've simplified the complex. Thanks much

[@user-xb4bg3od2w]

You are just fantastic!!! Your videos seem also to be time efficient:) You talk fast great

[@MariosMathTutoring]

Glad you like my videos Ziynet!

[@Lanoixsette]

mario thxsm ur a real one like the biggest mvp out there. hope u make it big srsly. u deserve the world

[@sayidakhrormukhamedov2035]

keep it up. i have been watching ur videos for a while and i love it. the more i watch, the more i want. ahaha

[@MariosMathTutoring]

Glad you like my videos Sayidakhror!

[@aumpatel177]

this is great helps me remember stuff I've forgotten about and is very fast. thanks

[@KPJPflorida]

Great explanation very useful tools to learn

[@kareemtareg2941]

nice video for sure

[@MariosMathTutoring]

Glad you liked the video Kareem!

[@fridamariafrancis]

Thanks

[@rogueelitecs1229]

Thanks!

[@MariosMathTutoring]

Thank you!!

[@jjc6530]

Why are (x - h)^2 = 4p(y - k) and y = ax^2 + bx +c both called standard form of a parabola? It’s very confusing. When having a conversation and referring to standard form, the other person would not know which one I’m talking about if I said standard form.

[@nr6916]

*vid says to make math less stressful* Me: 😭 is that even possible After the video Me: he made it possible!

[@andreareimann247]

mario, your video at 15:51 your table x/y 0/0 should be 0/1.

[@andreareimann247]

video at 17;51