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Anika [276]
3 years ago
11

the quadratic of a certain quadratic function has no x-interecepts which of the following are possible values for discriminants

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

Some possible values are -5, -3, -2.

Step-by-step explanation:

Basically if d(discriminant)

d > 0 = 2 x intercepts,

d = 0 means one x intercept

d < 0  = 0 x intercepts

:) Hoped this helped :)

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3 years ago
Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin
SpyIntel [72]

The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).

Then the equation can be written as

\rm \sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2 + (y-y)^2}\\\\\sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2}

On squaring both sides, we have

\begin{aligned} (x-4)^2 +(y-0)^2 &=  (x+4)^2 \\\\x^2 + 16 - 8x +y^2  &= x^2 + 16 + 8x\\\\y^2 &= 16x \end{aligned}

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ4

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3 years ago
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