Understanding how to substitute values into an expression is an essential skill when using graphs to estimate values of \(x\) and \(y\). The graph has a vertical line of symmetry. When \(x²\) is negative the graph is Ո-shaped. When the \(x²\) term is positive the graph is U-shaped. One important feature of the graph is that it has an extreme point, called the vertex. The shape of a quadratic graph is called a parabola close parabola The shape of a quadratic graph., which looks like a U-shape. The graph of a quadratic function is a U-shaped curve called a parabola. A quadratic graph is a curve, so more points are plotted to support accuracy. Eg, in the equation □ = 3□ + 6, the 3 and 6 are constants, where □ and □ are variables.Ī linear graph can be drawn using only three points. Eg, 5 is the coefficient of 5□ \(a\) and \(b\) are integers close integer Any of the positive or negative whole numbers including zero., and \(c\) is a constant close constant The number or quantity that does not vary. graph is a visual representation of a quadratic equation in the form \(y = ax² + bx + c\) where the coefficients close coefficient A number or symbol multiplied with a variable or an unknown quantity in an algebraic term. If you think about it intuitively, if you are lending your money for a longer period of time, you expect to earn a higher compensation for that. The normal yield curve reflects higher interest rates for 30-year bonds as opposed to 10-year bonds. □ = □□² + □□ + □ is a quadratic equation, its graph is a parabola. This is the most common shape for the curve and, therefore, is referred to as the normal curve. In this form, the quadratic equation is written as. For example, two standard form quadratic equations are f (x) x 2 + 2x + 1 and f (x) 9x 2 + 10x -8. A quadratic close quadratic Describing an expression of the form □□² + □□ + □ where □, □ and □ are real numbers. In this form, the quadratic equation is written as: f (x) ax 2 + bx + c where a, b, and c are real numbers and a is not equal to zero.
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