Graph of quadratic function

Graph of quadratic function

• 1.
  Graph ofQuadraticFunction Ms. G.Martin
• 2.
  Contoso S u it e s 2 A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape. The graph opens downward if a > 0 and downward f a < 0. Vertex - The point where the parabola intersects its axis of symmetry and is the point where the parabola is most sharply curved. - It is also the turning point of the graph. We can see that the vertex is at (3,0) .
• 3.
  Contoso S u it e s 3
• 4.
  Contoso S u it e s 4 Axis of symmetry - is the vertical line that intersects the parabola at the vertex. It is a vertical line that divides the parabola into two congruent halves. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola or represented by the formula h = - 𝒃 𝟐𝒂 .
• 5.
  Contoso S u it e s 5
• 6.
  Contoso S u it e s 6 How to graph Quadratic Function So, to get the vertex form of the quadratic function use the formula of h(x) = - 𝒃 𝟐𝒂 and k = f(h) or k(y) = (- b2 – 4ac 4a )
• 7.
  Contoso S u it e s 7
• 8.
  Contoso S u it e s 8 Or use the formula of h and k, where h is the value of x and k is the value of y. h = - 𝒃 𝟐𝒂 = - 𝟏𝟐 𝟐(𝟏) = -6 = - b2 – 4ac 4a = - 122 – 4(1)(32) 4(𝟏) = - 𝟏𝟒𝟒 −𝟏𝟐𝟖 𝟒 = - 𝟏𝟔 𝟒 = -4 So, the vertex(h, k) is (-6, -4)