Unit 8: Quadratic Equations Test

Front

What is the axis of symmetry for the quadratic equation y = 3x² - 6x + 4?

Back

x = 1

Front

Is the graph of the quadratic equation a maximum or minimum?

Back

Maximum

Front

What is the vertex of the quadratic equation y = 3x² - 6x + 4?

Back

(1, 1) - Note: This is a correction from the provided options.

Front

Solve using the quadratic formula: 2x² - 9x - 35 = 0

Back

x = -5/2, x = 7

Front

What is the vertex of the quadratic equation y = 2x² - 12x + 10?

Back

(3, -1)

Front

Define a quadratic equation.

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

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

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How do you find the vertex of a quadratic equation in standard form?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b² - 4ac and determines the nature of the roots.