Graphically, these intercepts are points on the curve that help define its shape and position in the coordinate plane. A parabola opens upward or downward. The coefficient a in the quadratic ...

Since -1 < 0, then it is a maximum turning point. \({b^2} - 4ac\) where \(a = - 1,\,b = 2\,and\,c = - 3\) \(= {2^2} - (4 \times ( - 1) \times ( - 3))\) \(= 4 - 12 ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry ...

The graph of the quadratic equation \(y = ax^2 + bx + c\) crosses the y-axis at the point \((0 ... a) The constant term is -2, so the y-intercept is (0, -2) b) The constant term is 17, so the ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry ...

The graph below has a turning point (3, -2). Write down the nature of the turning point and the equation of the axis of symmetry. For the parabola \(y=(x+6)(x-4)\) determine the coordinates and ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry ...

For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram shows the main properties: If k > 0, the vertex is a minimum turning point If k < 0, the vertex is a maximum ...

Therefore the coordinates of the turning point are (-1, 2). If we recall the general equation: \(y = a{x^2} + bx + c\) then if: a > 0, then the shape of the parabola is like a happy face and the ...