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Can anyone help me with this question?:The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1. The x-coordinate of the vertex of the graph is 3. The equation of the quadratic function is in the form y = ax^2 + bx + ca) Find the value of a and bb) Write down the second x-intercept of the function |
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Answer» Step-by-step explanation: The graph of y = ax^2 + bx + c A nonlinear function that can be written on the STANDARD form ax2+bx+c,wherea≠0 is CALLED a quadratic function. All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is y=x2 picture51 The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate x=−b2a The y-coordinate of the vertex is the maximum or minimum value of the function. a > 0 parabola opens up minimum value picture52 a < 0 parabola opens down maximum value picture53 A rule of THUMB reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a NEGATIVE symbol renders a sad expression. The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation x=−b2a The y-intercept of the equation is c. picture54 When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and DRAW a smooth curve through the points. |
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