4. What is the possible discriminant of the graph? a parabola opening up with vertex near negative 1.2 comma negative 9.1. a y intercept of negative 6 -11 zero 25 73 5. What is the possible discriminant of the graph? a parabola opening up x intercepts near negative 7 and negative 3 -13 zero 15 16
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@Kainui pretty plz i need help
For 5 i got 16...still working on 4. I know 5 is correct.
Really are u sure about 5
how did u get 16?
I am sure about 5. The value of the discriminant comes out to 16. Use the x intercepts to find the quadratic that these two intercepts create, like this:
\[(x+3)(x+7)=x ^{2}+10x+21\]The discriminant part of that is \[(10)^{2}-4(1)(21)=16\]The math doesn't lie.
@superhelp101 You need to post the graph. Depending on the value of the leading coefficient, the value of the discriminant varies. If a is the leading coefficient, the discriminant is \(16a^2\).
For #4, here's what I did: I figured the quadratic from the x^2 part of the equation, which was (x+ 1.2)^2. FOILing that out gave an equation of \[x ^{2}+2.4x+1.44\]The discriminant part of that is:\[(2.4)^{2}-4(1)(1.44)=0\]
Can't read the x intercepts on graph 1. Can you tell me what they are?
(-3.306, 0) and (.806,0)
For question 2, f(x)=a(x+3)(x+7) and f(-5)=-4, so a = 1, yes, @IMStuck has the right answer of discriminant = 16(1^2)=16.
Ok, then, redo on the #4...
Alright
The quadratic equation for #4 is \[x ^{2}+2.5x-2.6646\]and the discriminant part for that is:
\[(2.5)^{2}-4(1)(-2.6646)=16.89\]That one I'm not seeing in your answers. Maybe @mathmate could lend his eyes to this?
oh. Could you help me @mathmate
Try f(x)=a(x-0.806)(x+3.306) and use f(-1.25)=-9.1 or f(0)=-6 to find a = 2.2517 You should get discriminant equal to 78.73 or 85.76 (instead of 73). I believe we discussed this one before.
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