Graphing Quadratics: Step Patterns Explained

What is the result of plugging x = -3 into the equation y = x^2?

• 3

• 6

• 9

• -3

What is the vertex of the parabola for the equation y = x^2?

• (0,1)

• (1,1)

• (0,0)

• (-1,-1)

What is the first step in the step pattern for y = x^2 starting from the vertex?

• Over 1, up 2

• Over 1, up 1

• Over 2, up 1

• Over 1, up 3

What is the next step in the pattern after 'over one, up one' for the equation y = x^2?

• Over one, up four

• Over two, up one

• Over one, up two

• Over one, up three

What is the new step pattern for y = 2x^2?

• 2, 4, 6

• 2, 6, 10

• 1, 2, 3

• 1, 3, 5

How does the parabola of y = 2x^2 compare to y = x^2 in terms of width?

• Wider

• Narrower

• Cannot be determined

• Same width

What does the coefficient in the equation y = ax^2 affect in the graph of the parabola?

• x-intercepts

• Direction of opening

• Width of the parabola

• Vertex position

What is the adjusted step pattern for y = 0.5x^2?

• 1, 2, 2.5

• 1, 3, 5

• 0.5, 1.5, 2.5

• 0.5, 1, 1.5

How does the parabola of y = 0.5x^2 compare to y = x^2 in terms of width?

• Cannot be determined

• Wider

• Narrower

• Same width

What is the importance of understanding step patterns in graphing quadratic equations?

• It helps in solving linear equations

• It helps in calculus

• It simplifies the graphing process

• It is only useful for negative coefficients