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

Question

11-04-2019
Mathematics

contestada

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

Respuesta :

Otras preguntas

Find the poetic devices in the given lines. What is the boy now, who has lost his ball, What, what is he to do? I saw it go

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for

According to the unbalanced equation: KCIO3 → KCI + O2 how many moles of potassium chlorate are needed to produce 6.51 moles of oxygen?

The following list gives the number of public libraries in each of 11 cities. 6, 6, 4, 5, 4, 6, 8, 4, 5, 5, 7 Find the modes of this data set. If there is more

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1 2 grams. The mass of a larger type of hummingbird is about 5 times the mass of th

neptune ran 0.06 mile in the morning and 0.45 mile in the afternoon. Did she ran more in the afternoon or morning?

Factoring each polynomial 4x^3+ 8x^2+ 12x

which phrases include sensory language

6th grade social studies help :D....

An unsaturated solution has,A. the maximum concentration of solute that can be dissolved into solvent at a specific temperature.B. a higher concentration of sol

kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-04-20T18:39:37+02:00

ANSWER

See attachment.

EXPLANATION

The given function is

[tex]y = {x}^{2} + 4x + 5[/tex]

When we compare this function to

[tex]y = a{x}^{2} + bx + c[/tex]

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

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

[tex]D = {b}^{2} - 4ac[/tex]

[tex]D = {4}^{2} - 4(1)(5)[/tex]

[tex]D = 16 - 20 = - 4[/tex]

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.