Study the parabola and answer the questions below
Guided Questions:
1. How would you describe the graph?
2. Give the vertex of the parabola and its axis of symmetry.
3. At what values of x does the graph intersect the x - axis?
4. What do you call these x - coordinates where the curve crosses the x - axis?
5. What is the value of y at these values of x?
Answers & Comments
Answer:
Study the parabola and answer the questions below
Step-by-step explanation:
1.How would you describe the graph?
•The graph of a Quadratic function is called a PARABOLA and has a cured shape. The parabola will open upward and downward.
Give the vertex of the parabola and its axis of symmetry.
• In the parabola y=x², the (0,0) is the "lowest point" of the curve, and it is called the vertex of the parabola. y=x² is symmetric with respect to the line x=0, and the line x=0 is the symmetry of the parabola.
3. At what values of x does the graph intersect the x - axis?
• The parabola y=x² intersects the x-axis and the y-axis at the same point
4. What do you call these x - coordinates where the curve crosses the x - axis?
5. What is the value of y at these values of x?
The parabola y=x² intersects the x-axis and the y-axis at the same point (0,0) and the point (0,0) is the x-intercept and y-intercept of the parabola.