posted by .

ok, I totally did not get this question at all.

Complete each statement. Assume the variable a does not equal 0.

a. The graph of y=ax^2+c intersects the x-axis in two places when ______.
b. The graph of y=ax^2+c does not intersect the x-axis when ______.

------------------------------------------------------------

Plz somebody explain this to me. Any help is greatly appreciated!!!

This equation is a parabola. In order for it to intersect the x-axis in 2 places, the bottom point of the parabola has to be below the x-axis. Therefore, the point c, which is the minimum of the parabola (where x is 0) has to be less than 0. If c is >0, then it does not cross the x-axis, because the whole graph sits above the x-axis.

oh, i get it now!!! Thanx so so much! You guys help me out a lot!

y=-4x^2

## Similar Questions

1. ### Algebra,Math, graphs help

This is what the directions state to do: (A) Complete the table,(B)describe the resulting graphs by identifying the vertex point, (c) the graph’s direction, (d) and any axis intercepts gleaned from the table or graph. Problem #1 …
2. ### math, algebra,graphs help

THe directions state: (A)Complete the table, (B) describe the resulting graphs by identifying the vertex point, (C)the graph’s direction, (D) and any axis intercepts gleaned from the table or graph Problem #3 Equation : y = 2x^2 …
3. ### math

how many times does the graph of y= 2x squared -2x+3 intersect the x-axis?
4. ### geometry

graph the following 2 graphs - y=2x+3 and y=2x-4. a)state the intersections on the y axis and the x axis. b)what is the vertical and horizontal difference between the two graphs?
5. ### 11th grade Algebra II

if the roots of ax^2+bx+c=0 are real, rational, and equal, what is true about the graph of y= ax^2+bx+c?
6. ### science(HELP)

how do i make this graph? Graphs: Be able to correctly select what type of graph to use, which axis the dependant variable goes on, which axis the independent variable goes on, that every graph has a title and both axis labeled, units
7. ### Math (What Do I Do)

Choose the best graph for the given situation. Copy the graph and label the axes with the variables give in parenthesis (the first variable goes on the y axis and the second variable on the x axis). 1.Karina walked from home to the …
8. ### math

Sally graphs the geometric sequence an = 2(3)n - 1 on a coordinate plane where she plots an on the y-axis and n on the x-axis. This graph is the same as the graph of which type of function?
9. ### math seriously help me

Sally graphs the geometric sequence an = 2(3)n - 1 on a coordinate plane where she plots an on the y-axis and n on the x-axis. This graph is the same as the graph of which type of function?
10. ### Math

1. Given the following polynomial: 2x^2 + 7x - 15 = 0 Check all that apply.  The value of the discriminant is 169.  There are 2 real roots.  There are 2 irrational roots.  The graph intersects the y-axis twice.  The …

More Similar Questions