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To find the intercepts of the equation (y = x^4 - 2x^2 - 8), we need to determine where the graph intersects the x-axis and y-axis. For the y-intercept, set (x = 0), yielding (y = -8), so the y-intercept is (0, -8). To find the x-intercepts, set (y = 0) and solve the equation (x^4 - 2x^2 - 8 = 0); this can be factored or solved using substitution methods, leading to the x-intercepts at approximately (x \approx 2.414) and (x \approx -2.414).
What else can I help you with?
What are the intercepts of 2x-3y-4z-24?
The question does not contain an equation but an expression. An equation can have intercepts, an expression cannot.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
A linear equation cannot always be graphed by using intercepts alone?
Yes it can. A linear equation in the form of y=mx+b can always be graphed used the x and y intercepts.
How do you get the equation of of a parabola from its x-intercepts?
Let us say you X intercepts are -2 and 3 set up (X + 2)(X - 3) FOIL X^2 - X - 6 = 0 ----------------------- your parabolic equation
What does a quadratic equation graph have with a negative discriminant?
It has a complete lack of any x-intercepts.
What are the intercepts of 2x-3y-4z-24?
The question does not contain an equation but an expression. An equation can have intercepts, an expression cannot.
What are the x and y intercepts of the equation 5-y-3x?
The question does not contain an equation (or inequality) but an expression. An expression cannot have intercepts.
How would you use intercepts to find the vertex in a quadratic equation with two x intercepts?
The vertex must be half way between the two x intercepts
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
A linear equation cannot always be graphed by using intercepts alone?
Yes it can. A linear equation in the form of y=mx+b can always be graphed used the x and y intercepts.
What is the intercept of the equation y equals -x?
The 'x' and 'y' intercepts of that equation are both at the origin.
What is the greatest number of x- and y-intercepts that a circle can have?
A circle represented by an equation x^2 + y^2 = r^2 or a circular object represented by an equation Ax^2 + By^2 = r^2 has 2 y-intercepts and 2 x-intercepts.
What are the steps to graph an equation of a line using the intercepts?
Draw the axes. Plot the two intercepts. Draw a line connecting the two points
Does every quadratic function have 2 x intercepts?
Only if the discriminant of its equation is greater than zero will it have 2 different x intercepts.
What is the formula to find the intercepts for a quadratic equation?
To find the intercepts of a quadratic equation in the standard form ( y = ax^2 + bx + c ), the y-intercept can be found by evaluating the equation at ( x = 0 ), which gives the point ( (0, c) ). For the x-intercepts, set ( y = 0 ) and solve the equation ( ax^2 + bx + c = 0 ) using the quadratic formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ). The resulting values of ( x ) will give the x-intercepts.
What are the intercepts of the graph of the equation 3x-9y-27?
3x-9y-27
How do you get the equation of of a parabola from its x-intercepts?
Let us say you X intercepts are -2 and 3 set up (X + 2)(X - 3) FOIL X^2 - X - 6 = 0 ----------------------- your parabolic equation
