Learn how to use the formula for vertex and axis of symmetry to graph a parabola

The video tutorial covers methods for solving quadratic equations, focusing on completing the square and using the standard form to find the axis of symmetry. It explains how to calculate the vertex and graph quadratic functions, including understanding transformations and determining the domain and range.

What is the first step in completing the square for a quadratic equation?

• Subtract the constant outside the parentheses

• Group the first two terms

• Divide b by two and square it

• Factor out the constant

Which of the following is NOT a step in completing the square?

• Subtract the square of half the coefficient of x outside the parentheses

• Add the square of half the coefficient of x inside the parentheses

• Factor the quadratic expression

• Multiply the entire equation by a constant

Which formula is used to find the axis of symmetry in standard form?

• x = b/2a

• x = -b/2a

• x = a/2b

• x = -a/2b

What is the significance of the axis of symmetry in a quadratic graph?

• It is the lowest point of the graph

• It is the highest point of the graph

• It divides the graph into two symmetrical halves

• It determines the width of the graph

How do you find the y-coordinate of the vertex once you have the x-coordinate?

• Multiply the x-coordinate by the constant

• Add the x-coordinate to the constant

• Substitute the x-coordinate into the equation

• Divide the x-coordinate by the constant

What determines if a quadratic graph opens upwards or downwards?

• The value of b

• The value of c

• The vertex coordinates

• The sign of a

If the coefficient 'a' is negative, how does the graph of the quadratic function behave?

• It does not form a parabola

• It becomes a straight line

• It opens downwards

• It opens upwards

How does the value of 'a' affect the graph of a quadratic function?

• It determines the y-intercept

• It affects the horizontal shift

• It changes the axis of symmetry

• It influences the vertical stretch or compression

What is the domain of a quadratic function?

• Numbers between -1 and 1

• Only negative numbers

• Only positive numbers

• All real numbers

What is the range of a quadratic function that opens downwards with a maximum vertex at y = 6?

• y > 6

• y < 6

• y ≤ 6

• y ≥ 6