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Elena-2011 [213]
3 years ago
9

Use the discriminant to determine which graph could represent the equation. y=x^2+4x+5

Mathematics
1 answer:
lidiya [134]3 years ago
5 0
ANSWER

See attachment.

EXPLANATION

The given function is

y = {x}^{2} + 4x + 5

When we compare this function to

y = a{x}^{2} + bx + c

We have a=1, b=4 and c=5

We put this inside the formula for the discriminant, which is

D = {b}^{2} - 4ac

D = {4}^{2} - 4(1)(5)

D = 16 - 20 = - 4

Since the discriminant is negative, the function has no x-intercepts.

The graph of this function is the one hanging in the air above the x-axis and opens upwards.

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