https://file.aiquickdraw.com/mathbot/file/1725584354511tqinadyv.jpg

I've opened the image you uploaded, which appears to show a graph and some equations on a math-related webpage. Let me take a closer look to assist you with the details.

It seems the problem involves graphing or working with the equation \( f(x) = -3x^2 + 5x + 4 \), as displayed on the right, along with a table of values for different \( x \) inputs.

On the left, there seems to be another function \( f(x) = \lvert x - 1 \rvert / 2 \) (or a similar equation), along with a graph. Could you confirm which part of the problem you'd like help with, or should I assist with both graphs and their corresponding equations?

Please let me know if you'd like details, and here are five related questions:

1. Would you like to explore how to find the vertex of a quadratic equation?
2. Are you interested in transforming equations into vertex or factored forms?
3. Do you need help plotting piecewise functions, such as absolute values?
4. Should we work through solving quadratic equations step by step?
5. Would you like to examine the effect of changing coefficients on the graph?

**Tip:** When dealing with quadratic functions, completing the square can be useful to convert them into vertex form, which makes graphing easier.

Graph the equation f(x) = |x - 1|/2 in simplified form.

Explore how to graph the absolute value function f(x) = |x - 1|/2 and the quadratic equation f(x) = -3x^2 + 5x + 4. Understand how these functions behave on a graph, with tips on vertex finding and symmetry properties. Suitable for students in Grades 9-12.

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