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What is the line of symmetry for the parabola whose equation is y equals -x2 plus x plus 3?
For a quadratic equation y=Ax2+Bx+C, the line of symmetry is given by x=-B/2ASo for the equation y=-x2+x+3, B is 1 and A is -1, so the line of symmetry isx=1/2
Do all functions of the form y equals ax2 have the same vertex and axis of symmetry?
axis of symmetry is x=0 Vertex is (0,0) So the answer is : YES
How can the parabolic form y equals ax2 be plotted as a straight line on cartesian graph paper?
It cannot.
If a equals positive and b equals negative and c equals zero how many solutions does a Quadratic Equation have?
Two: one is 0, the other is -b/a ax2 + bx + c = 0, but c = 0 ⇒ ax2 + bx + 0 = 0 ⇒ ax2 + bx = 0 ⇒ x(ax + b) = 0 ⇒ x = 0 or (ax + b) = 0 ⇒ x = -b/a
Why are Quadratic equations which are expressed in the form of ax2 plus bx plus c 0 where a does not equal 0 may have how many solutions?
Why are Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0,
What is an equation that can be expressed in the form of the equation y equals ax squared plus bx plus c where the variable 'a' is not equal to 0?
The equation ax2 + bx + c = 0, where a != 0 is called quadratic.
What is the function y equals ax2 plus bx plus c?
It is a quadratic function which represents a parabola.
What cant ax2 plus bx plus c equals 0 have?
A discriminant that is less than zero.
What is the axis of symmetry of -3x2 plus 2x minus 3?
The axis of symmetry for a parabola of the form y = ax2 + bx + c is x = -b/2a So the axis is x = -2/2*(-3) or x=1/3
Equation that can be expressed in the form of the equation y equals ax2 plus bx plus c?
A quadratic equation.
What is the significance of this equation ax2 plus bx plus c equals 0?
It is the general form of a quadratic equation.
How can you tell if the graph of an equation in the form ax2 plus by2 equals c is a circle or an ellipse?
If a = b then it is a circle; otherwise it is an ellipse.
