Answer :
The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.
To find the equation/
What is quadratic equation?
Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
By definition, the graph of Quadratic function is a parabola.
The Standard form of a Quadratic function is the following:
[tex]f(x)=ax^{2} +bx+c[/tex]
Where "a", "b" and "c" are real numbers (a≠0)
It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.
So, given the following Quadratic equation:
[tex]y=-2x^{2} -1[/tex]
You can identify that:
IaI=2
Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.
[tex]y=-3x^{2} +1[/tex]
Where:
IaI=3
Notice that:
3>2
Learn more about quadratic equation here:
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