Question

WILLING TO LEARN, PLEASE HELP
Which statement about the quadratic functions below is false?
f(x)= -3/4x^2+6
g(x)= -2x^2 - 5
h(x) = 1/4x^2+1
a. the graphs of two of these functions have a minimum point
b.the graphs of all these functions have the same axis of symmetry.
c.the graphs of two of these functions do not cross the x-axis
d. the graphs of all these functions have different y- intercepts.

Answer 1

You can see that all the functions satisfy
f(-x)=f(x)
g(-x)=g(x)
h(-x)=h(x)
What does this tell you?

Answer 2

Graphing all 3 of these functions would likely help you greatly. You'll need the graphing skills later as well.

Answer 3

Notice also that h(x) >=1, knowing this can the graph of h cross the x-axis

Answer 4

Which other function cannot cross the x-axis?

Answer 5

Notice that
f(0)=6
g(0)=-5
h(0)=1
What does this tell you about their y-intercept

Answer 6

You should be able to finish the problem

Answer 7

they all have different y intercepts

Answer 8

@eliesaab

Answer 9

What specifically do you need help with at this point?

Answer 10

so thats the answer correct?

Answer 11

@mathmale

Answer 12

By my remarks above, you should be able to see that b,c and d are correct