Unit 4 Test Extra Credit

Front

What is the maximum or minimum value of the quadratic function g(x) = -3x^2 + 7x - 2?

Back

The function has a maximum value.

Front

Write the equation of the parabola with focus (3, 5) and vertex (3, -1).

Back

Front

Convert the equation y = 3(x-1)^2 - 8 to vertex form.

Back

The vertex form is y = 3(x+1)^2 - 8.

Front

What is another name for the x-intercepts of a quadratic function?

Back

The x-intercepts are also called zeros.

Front

Which equation matches the x-intercepts x=5 and x=-7?

Back

The equation is (x-5)(x+7)=0.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is given by y = a(x-h)^2 + k, where (h, k) is the vertex.

Front

How do you find the vertex of a parabola given its equation in standard form?

Back

The vertex can be found using the formula h = -b/(2a) and k = f(h).

Front

What does the 'a' value in a quadratic equation indicate about the parabola?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the number of real roots: positive for two roots, zero for one root, and negative for no real roots.

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

You can complete the square to convert from standard form ax^2 + bx + c to vertex form.