Author Question: Does anyone know how to find the coordinates of the vertex and graph the quadratics? (Read 1506 times)

coco

  • Hero Member
  • *****
  • Posts: 739
How would you do these?

y=2xsquared




y=2xsquared + 12x - 14



TI

  • Sr. Member
  • ****
  • Posts: 434
y=2x^2
y = ax^2 + bx + c is the parabola
y = 2x^2+0x+0
x-coordinate of vertex is -b/2a
= -(0) / (2)(2)
= -0 / (2)(2) = 0
y coordinate of the vertex:
y = ax^2+bx+c
y = 2(0)^2+0(0)+0
0+0+0 = 0
Vertex : ( 0 , 0 )
-----------------------------------------------------

y=2xsquared + 12x - 14
y = ax^2 + bx + c is the parabola
y = 2x^2+12x-14
x-coordinate of vertex is -b/2a
= -(12) / (2)(2)
= -12 / (2)(2) = -3
y coordinate of the vertex:
y = ax^2+bx+c
y = 2(-3)^2+12(-3)-14
18-36-14 = -32
Vertex : ( -3 , -32 )
----------------------------------------------

To graph the equation, choose x=-5,-4,-3,-2,-1,0,1,2,3,4,5
evauate y=2x^2+12x-14 and graph.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
 

Did you know?

Vaccines cause herd immunity. If the majority of people in a community have been vaccinated against a disease, an unvaccinated person is less likely to get the disease since others are less likely to become sick from it and spread the disease.

Did you know?

The ratio of hydrogen atoms to oxygen in water (H2O) is 2:1.

Did you know?

In 1844, Charles Goodyear obtained the first patent for a rubber condom.

Did you know?

A serious new warning has been established for pregnant women against taking ACE inhibitors during pregnancy. In the study, the risk of major birth defects in children whose mothers took ACE inhibitors during the first trimester was nearly three times higher than in children whose mothers didn't take ACE inhibitors. Physicians can prescribe alternative medications for pregnant women who have symptoms of high blood pressure.

Did you know?

Looking at the sun may not only cause headache and distort your vision temporarily, but it can also cause permanent eye damage. Any exposure to sunlight adds to the cumulative effects of ultraviolet (UV) radiation on your eyes. UV exposure has been linked to eye disorders such as macular degeneration, solar retinitis, and corneal dystrophies.

For a complete list of videos, visit our video library