Key Features of Comparing Algebraic Expressions

This video tutorial covers the key features of quadratic functions, including roots, maximums, and minimums. It explains how to identify these features using various methods such as factoring, the quadratic formula, and completing the square. The tutorial also provides examples to illustrate how to determine maximum and minimum values and discusses how to easily identify key features from different quadratic forms.

What are the points where a quadratic function intersects the x-axis called?

• Maximums

• Y-intercepts

• Roots or Zeros

• Vertices

If a quadratic function opens upwards, what is the vertex called?

• Minimum

• Root

• Maximum

• Intercept

What is the y-value of a minimum or maximum called?

• Vertex

• Root

• Optimum

• Extremum

Which method is typically used when the coefficient 'b' is even for finding the vertex of a quadratic function?

• Completing the Square

• Graphical Analysis

• Quadratic Formula

• Factoring

Which feature of a quadratic graph is found at the highest or lowest point?

• Y-intercept

• Root

• Axis of Symmetry

• Vertex

In vertex form of a quadratic function, what does the 'k' value represent?

• x-coordinate of the vertex

• y-coordinate of the vertex

• Slope of the parabola

• Y-intercept

Which form of a quadratic equation is best for identifying the roots easily?

• Intercept Form

• Factored Form

• Vertex Form

• Standard Form

What key feature can be directly identified from the standard form of a quadratic equation?

• Axis of Symmetry

• Vertex

• Roots

• Y-intercept

What does the 'c' value in the standard form of a quadratic equation represent?

• X-intercept

• Y-intercept

• Coefficient of x^2

• Coefficient of x

When using the factored form of a quadratic equation, what must you remember about the signs of the roots?

• They are the same as the signs in the factors

• They are opposite of the signs in the factors

• They are always positive

• They are always negative