Graphing a quadratic with reflection and vertical stretch
👉 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.
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Organized Videos:
✅How to graph a Quadratic in Vertex Form
• How to graph a Quadrat...
✅Identify the Vertex of a Quadratic
• Identify the Vertex of...
✅Complete the Square then Graph | Hard
• Complete the Square th...
✅Complete the Square then Graph | Easy
• Complete the Square th...
✅Graph a Quadratic in Vertex Form with Vertical Shift Only
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Stretch and Compression
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Horizontal Shift Only
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form | Learn about
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Horizontal and Vertical Shifts
• Graph a Quadratic in V...
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Пікірлер: 71
if its too fast then put the playback speed in .75
Thank you so much!! This video was so helpful for my Algebra 2 class!!
im cramming for my alg2 final tomorrow!! ion even remember this, but apparently i did it in the beginning of the year
@YTShortsRater
3 жыл бұрын
How was it
@Uranium30
Жыл бұрын
me rn
thanks for posting these videos it helps alot for revewing concepts in the sat :D
You are such a good teacher! Finally clicked for me :) thank you so much!
thankyou so much, honestly your channel is so helpful.
Great teacher!
Thank you for posting this, it really helped me with my math homework
@brianmclogan
6 жыл бұрын
awesome! happy to help
This video really helped me understand my math homework:) thx
@brianmclogan
5 жыл бұрын
Cheers Elizabeth, Keep working hard.
that was just what i needed
Weren’t you supposed to reflect over the x-axis major the vertex (1,-3)?
I got lost in the ending 😂
if your graph had a reflection about the y-axis, how would that be expressed in the y=a(x-h)^2+k equation? I know that a reflection about the x-axis occurs when a
@brianmclogan
9 ай бұрын
The x would have a negative coefficient
why does the 2 go down after being squared??
Love bro 🙏🙏 keeping me from failing
dude, you are the best teacher ever.
@brianmclogan
6 жыл бұрын
thanks, just happy to be able to help!
@HardikKundalwal
4 жыл бұрын
@@brianmclogan not really, Patrick jmt and Eddie woo understand better than you.
Good teacher
How did you get two points off to the right at 3:06?
@shaunwu3609
5 жыл бұрын
Muscle Studios that’s the line of symmetry
You're the best. SIR Love & Huge Respect from Pakistan
@brianmclogan
5 жыл бұрын
cheers Saad!
THANK YOU SO MUCH!!!!!!!!!!!!
@brianmclogan
5 жыл бұрын
you are very welcome!
GOAT
It isn't a horizontal compression because it isn't ( 0 1)
@brianmclogan
2 жыл бұрын
Correct
how do yo do it without graphing
i really PRAY you see this. in class we're learning the vertex is a and k instead of h and k. PLEASE HELP
how do you graph when you have a reflection over y axis? like (-x-1)^2+3
@kfjfkeofitorhf9520
Жыл бұрын
2X^2++4++3 2X^2++7
@souperman6406
Жыл бұрын
@@kfjfkeofitorhf9520 thank you, but I'm in calculus 3 now, lol
In the function, what if "a" was equal to 1. If its negetive it reflects. If its between 0 and 1 its a vertical stretch. If its over 1 its a vertical compression. But what if it equaled one.
@brianmclogan
6 жыл бұрын
then there is no effect on the graph
@arwamohamed615
5 жыл бұрын
Brian McLogan how to solve 2-1/2(x-5)^2 By graphing
@nikespikey3635
2 жыл бұрын
Good question bro
wish you were my teacher
Just a bit too fast for me
@brianmclogan
7 жыл бұрын
I understand, and I know
@johnjohnson4610
7 жыл бұрын
Brian McLogan that's okay
@HBoywasdocile
5 жыл бұрын
ever heard of a PAUSE button
i think u should show how'd you get that stuff from here to here.
What about this (x^2 )+(y-((x^2)^(1/3)))^2 = 1 please !!
I hate being slow at math
@brianmclogan
5 жыл бұрын
I am really slow at writing a good paper, it takes time, don't be hard on yourself,
What
Why he's class too quiet
this is somewhat confusing to me still
@parisht2381
4 жыл бұрын
I know and it seems so simple
WHY THE FUCK IS THIS HALF WAY THROUGH A GCSE MATHS PAPER...
It’s very fast :(
@brianmclogan
5 жыл бұрын
sorry about that
I think You're wrong. We have vertical stretch not a horizontal compression.
@brianmclogan
2 жыл бұрын
Yes a vertical stretch!
Your so confusing
@Demitrival
5 жыл бұрын
You are*
@Demitrival
4 жыл бұрын
Christopher Sanchez lol how old are u?
@Demitrival
4 жыл бұрын
Christopher Sanchez damn I guess I am a BOOMER compared to u lmao