Verifying Parabola Equation: y=1/9x^2, Origin, (-6,4)

  • Thread starter Thread starter TonyC
  • Start date Start date
  • Tags Tags
    Trig Year
AI Thread Summary
The discussion focuses on verifying the equation of a parabola with its vertex at the origin and passing through the point (-6, 4). The proposed equation is y = 1/9x^2. To confirm its accuracy, substituting x = -6 should yield y = 4, which it does. The equation is validated as correct for the given conditions. The user expresses a desire for confirmation and further understanding of the topic.
TonyC
Messages
86
Reaction score
0
Just checking my work:
Find the equation of the parabola with vertex at the origin, that passed through the point (-6,4) and opens upward.

I came up with y=1/9x^2

Am I right?
 
Physics news on Phys.org
You can check yourself. If the graph goes through (-6,4), it means that when you put x=-6 into the equation you should get y=4. Is that the case?
 
Yes, that is what I used...am I right?
 
What more do you need?
 
Thank you...still trying to muddle through this!
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Kinematic Problem w/ Parabola: Solving w/ KE Theorem?
Replies
25
Views
3K
Finding Equations of Movement and Acceleration Along a Parabola
Replies
4
Views
2K
Parabola: Vertex =(?,0) and know 2 arbitrary points. How solve x?
Replies
12
Views
2K
MHB Quadratics: How to determine parabola equation.
Replies
4
Views
2K
Calculating the equations of motion for particle in parabola
Replies
2
Views
3K
How Do You Find the Y-Coordinate of a Parabola's Vertex?
Replies
1
Views
2K
Magnetic field at origin due to infinite wires and semicircular turn
Replies
3
Views
2K
How Should the Parabolic Dish Be Aligned for Optimal Radio Wave Reception?
Replies
6
Views
3K
Arriving at parabola formula via distance formula
Replies
4
Views
2K
How to find the equation of a parabola with the following vertex.
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top