Question

What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.


value of the discriminant
k > 0 1.b^2-4ac=0
2.b^2-4ac is less than 0
3.b^2-4ac is greater than 0

Answer 1

i would help but idk how to do tht srry

Answer 2

i think its A(1)

Answer 3

@freckles

Answer 4

for the mentioned values of k?

Answer 5

its what they gave me sorry i dont undestand any better than you would

Answer 6

cat stepped on keyboard
err
anyways remember you posted something earlier a long with another question to give the question more context

are we using the same context? or is there a different context for this problem?

Answer 7

same context

Answer 8

just to verify:
so are we looking at the k in this:
\[y=\frac{1}{4p}(x-h)^2+k\]?

Answer 9

since we have y=1/(4p)(x-h)^2+k and p>0 means the parabola will be faced up
if k>0 this means the y-intercept of the parabola is above the x-axis

what does this mean about the x-intercepts of the function f(x)=1/(4p) (x-h)^2+k ?

Answer 10

PART B

A parabola can be translated so that its vertex is not at the origin or on an axis. (Remember that a translation moves or maps every point the same distance and direction.)

The equation for a parabola with directrix y = k – p and focus (h, k + p) is:

https://hanwingspanps.owschools.com/media/g_alg02_ccss_2015/8/equation_parabola_directrix.gif

The value of k changes the placement of the parabola. Assume that p > 0. There are 3 cases to consider:

k > 0
k = 0
k < 0