Graphing+Quadratic+Functions-Target+D-Converting+Forms+of+a+Quad-Quick+Check+Solutions

1) f(x) = -3(x – 7)(x – 1) Form: Intercept/Factored  Key Feature: x-intercepts (7, 0) and (1, 0) 2) g(x) = (x + 6) 2 – 2 Form: Vertex Key Feature: vertex (-6, 2) Determine which form is needed. Then, write the equivalent function to find the key feature. 3) Find the vertex of k(x) = (x + 4)(x + 2). In order to find the vertex, you need to convert the function into vertex form. Since you cannot directly convert from intercept form to vertex form, you need to convert into standard form first by using the distributive property: k(x) = x 2 + 6x + 8. Then you can convert this function into vertex form by completing the square: k(x) = (x + 3) 2 - 1. So the key feature of the graph of the function, the vertex, would be at (-3, -1). 4) Find the x-intercepts of h(x) = 2x 2 – 10x – 12. In order to find the x-intercepts, you need to convert the function into intercept/factored form: h(x) = 2(x - 6)(x + 1). So the key feature of the graph of the function, the x-intercepts, would be at (6, 0) and (-1, 0).

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