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Given a quadratic function, f(x) = ax2 + bx + c has a positive leading coefficient and the vertex that has a positive y-coordinate. Determine the number of real zeros of the function
A. 2 real zeros

B. 1 real zero

C. 1 real zero and 1 imaginary zero

D. 2 imaginary zeros

Respuesta :

As it has a positive leading coefficient the parabola will open upwards.

Also, as the y coordinate of the vertex is positive then the graph will not intersect the x axis at any point(s) ,  so there  can be no real zeroes.

D is the correct choice

The answer is the number of real zeros of the function f(x) =  ax² + bx + c is option D , 2 imaginary zeroes

What is a quadratic equation ?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is  ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

For the function f(x) =  ax² + bx + c

It is given that it has a positive leading coefficient

When the leading coefficient is positive the parabola will open upwards.

and when it is given that  y coordinate of the vertex is positive then the graph will not intersect the x axis at any point(s)

so ,

there can be no real zeroes  and Option D is the correct answer.

To know more about quadratic equation

https://brainly.com/question/17177510

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