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When the coefficient of ( x^2 ) is negative in a quadratic equation, the parabola opens downward. This means that the vertex of the parabola represents a maximum point, and the value of the function decreases on either side of the vertex. Consequently, the graph will touch or cross the x-axis at most twice, indicating that the quadratic can have zero, one, or two real roots.
What else can I help you with?
How can you determine the orientation of a parabola when written in standard form?
If the coefficient of x2 is positive then the parabola is cup shaped (happy face). If the coefficient of x2 is negative then the parabola is cap shaped (gloomy face).
Which way does a parabola open when the coefficient of its x2 term a is a negative?
A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.
What number must be added to the polynomial to complete the square x2-14x?
-12
What is the meaning of negative coefficient of x?
In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.
Which way does a parabola open when the coefficient of its x2 term a is positive?
It is like the letter U.
How can you determine the orientation of a parabola when written in standard form?
If the coefficient of x2 is positive then the parabola is cup shaped (happy face). If the coefficient of x2 is negative then the parabola is cap shaped (gloomy face).
Determine in which direction the parabola opens y equals x2-7x plus 18?
A parabola opens upwards if the quadratic coefficient - the number before the "x2" is positive; downward if it is negative. Note that x2 is the same as 1x2.
Which way does a parabola open when the coefficient of its x2 term a is a negative?
A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.
What is the direction opening of y equals -3x2 plus 6x-13?
The coefficient of x2 is -3 which is negative. Therefore the curve is downward opening.
What is a coefficient?
A coefficient is a number in front of a variable (i.e. multiplied by it).For example, in the expression x2 - 10x + 25, the coefficient of x2 is 1 and the coefficient of x is -10. The third term, 25, is a constant.If the expression were -x2 + 10x + 25, the coefficient of x2 would be -1, and the coefficient of x would be 10.
Can a coefficient of a variable be negative?
Yes, a coefficient of a variable can be negative.
Is it possible for a coefficient of variation to be negative?
Of course it is! If the mean of a set of data is negative, then the coefficient of variation will be negative.
Is it possible for a coefficient of variation to be negative Explain.?
Of course it is! If the mean of a set of data is negative, then the coefficient of variation will be negative.
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is?
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is 0.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis?
No, it will be entirely above the x-axis if the coefficient of x2 > 0, or entirely below if the coeff is <0.
Does a safe reactor have a positive or negative 'temperature coefficient of reactivity'?
negative 'temperature coefficient of reactivity'
What number must be added to the polynomial to complete the square x2-14x?
-12
