I see the image you uploaded is a page from a math textbook, and the problems appear to be related to quadratic functions and factoring expressions. Let me help you with the problems:

Quadratic Functions (Graphing, Axis of Symmetry, and Vertex)

• 63. $y = x^2 + 4x + 3$
• 64. $y = x^2 + 5x + 4$
• 65. $y = 2x^2 - 8x - 5$
• 66. $y = -x^2 + 6x - 1$
• 67. $y = 6x^2 - 12x + 1$

For these problems, you're typically asked to:

1. Graph the function.
2. Find the axis of symmetry: The formula for the axis of symmetry of a quadratic $y = ax^2 + bx + c$ is $x = -\frac{b}{2a}$.
3. Find the vertex: Substitute the axis of symmetry value into the original function to get the vertex.

Factoring Quadratics

• 69. $2c^2 + 29c + 14$
• 70. $3w^2 + 32w + 20$
• 71. $4g^2 - 21g - 18$
• 72. $2r^2 - 13r - 24$
• 73. $3w^2 + 16w - 12$
• 74. $5p^2 - 34p + 24$

For these, you're asked to factor the expressions, which generally involves finding two binomials that multiply to give the quadratic.

Would you like detailed solutions for any of these problems? Let me know if you have a specific one in mind or if you'd like step-by-step solutions!

5 Related Questions:

1. How do you find the axis of symmetry for any quadratic equation?
2. What steps are involved in graphing a quadratic function?
3. Can every quadratic function be factored? How do you handle ones that can't?
4. What are the different methods to factor a quadratic expression?
5. What is the significance of the vertex in the graph of a quadratic function?

Tip:

When factoring quadratics, look for patterns such as perfect squares or the difference of squares to make the process faster!