Posted by **Cassie** on Saturday, June 6, 2009 at 2:19pm.

Identify the vertex and the axis of symmetry for the graph of y=5(x-2)^2 + 3.

a) vertex (2,3); x = -2

b) vertex (-2,-3); x = 2

c) vertex (2,3); x = 2

d) vertex (-2,-3); x = -2

I have no idea how to solve this problem! Please help. Thank you! :)

- Algebra -
**MathMate**, Saturday, June 6, 2009 at 3:51pm
All parabolas of the form

y=ax^{2} + bx + c

have their axis of symmetry passing through the vertex.

Thus a and b can be eliminated on that basis.

Note that when the x^{2} term is positive, the parabola has a minimum at the vertex.

By inspection, when x=2, the value of y is at its minimum because the 5(x-2)^{2} term is zero. Any other value of x will render the term > 0. Thus the vertex is at x=2, where y=3.

Thus the answer is (C).

Check:

c. y=5(2-2)^{2}+3=3

d. y=5(-2-2)^{2}+3=83 (not equal to 3)

## Answer This Question

## Related Questions

- algebra - 1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. ...
- algebra - I would like to have some help on this problem please. I'm so post to ...
- Troy - Can someone check my answers for the following problems. Simplify. Assume...
- math help,algebra - Okay this is what i have to do but i think i am doing ...
- AlgebraB-2 - 1. What are the coordinates of the vertex of the graph? Is it a ...
- Algebra 2 - 3. Identify the vertex and the axis of symmetry of the graph of the ...
- algebra(reiny) - Hey thanks for all your help but you kinda confused me on a few...
- maths - how do i find out the the equation of the line of symmetry for f(x)=ax^2...
- math, algebra,graphs help - THe directions state: (A)Complete the table, (B) ...
- math - 1 identify the coordinates of the vertex and the equation of the axis of ...

More Related Questions