Answered

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Which 01 the following options best describes the zeros of the quadratic function above?
0) Imaginary zeros
() 2 real zeros
1 real zero and 1 Imaginary zero
f 1 real zero

Which 01 The Following Options Best Describes The Zeros Of The Quadratic Function Above 0 Imaginary Zeros 2 Real Zeros 1 Real Zero And 1 Imaginary Zero F 1 Real class=

Sagot :

Answer:

Option (1)

Step-by-step explanation:

Vertex form of the quadratic equation is given by,

y = (x - h)² + k

Where (h, k) is the vertex.

From the graph attached,

Vertex of the parabola is (0, 4).

Therefore, equation of the parabola will be,

y = (x - 0)² + 4

y = x² + 4

Function representing the parabola will be,

f(x) = x² + 4

For the zeros of the quadratic function we find the value of x where f(x) = 0.

x² + 4 = 0

x² = -4

x = ±√(-4)

Since, square root of a negative number is not defined, zeros of the function will be imaginary.

Therefore, both the zeros will be imaginary.

It's clear from the graph, there are no x intercepts of the function Or zeros are imaginary.

Option (1) will be the answer.

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