What is the factor of 4×2 12x 9?
What is the factor of 4×2 12x 9?
4x 2 + 12x + 9 is a perfect square trinomial. 4x 2 + 12x + 9 = (2x) 2 + 2(2x)(3) + (3) 2 Write as a2 + 2ab + b2 . = (2x + 3) 2 Factor using pattern.
What is the number of solutions of 4×2 12x 9 0?
4.2 Solving 4×2+12x+9 = 0 by Completing The Square . This quadratic equation has one solution only. That’s because adding zero is the same as subtracting zero.
What is the GCF of 4×2 and 12x?
The GCF for the numerical part is 4 .
What is the factor of 4x 12x?
Hence, upon factoring 4x+12x , we get 16x .
How do you plot a cubic graph?
Sketching Cubics
- Find the x-intercepts by putting y = 0.
- Find the y-intercept by putting x = 0.
- Plot the points above to sketch the cubic curve. e.g. Sketch the graph of y = (x − 2)(x + 3)(x − 1)
- Find the x-intercepts by putting y = 0.
- Find the y-intercepts by putting x = 0.
- Plot the points and sketch the curve.
What shape is a cubic graph?
The graph of a cubic function is symmetric with respect to its inflection point; that is, it is invariant under a rotation of a half turn around this point. Up to an affine transformation, there are only three possible graphs for cubic functions. Cubic functions are fundamental for cubic interpolation.
How do you recognize a graph?
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
What is range on a graph?
The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
What is quadratic and linear?
A Linear Equation is an equation of a line. A Quadratic Equation is the equation of a parabola. and has at least one variable squared (such as x2) And together they form a System.