Sketch a possible graph of a quadratic function which has two real roots (one positive, one
negative), a graph that opens downwards, and y-intercept at (0, 4).

To sketch a graph of a quadratic function with the following conditions:

1. **Two real roots** (one positive, one negative): This means the graph will intersect the x-axis at two points, one on the positive side and one on the negative side.
2. **Opens downwards**: The parabola will have a downward shape, meaning the coefficient of the \(x^2\) term in the quadratic equation is negative.
3. **Y-intercept at (0, 4)**: The graph crosses the y-axis at the point (0, 4).

### Sketch description:
- The graph is a parabola that opens downwards, starting high and curving down to intersect the x-axis at two points: one on the negative side and one on the positive side.
- The vertex is the highest point, located between the two real roots.
- The y-intercept at (0, 4) means the graph crosses the y-axis at 4, so when \(x = 0\), \(y = 4\).

Would you like me to generate a visual sketch of this graph?

### Possible Relative Questions:
1. What does the vertex of a quadratic function represent?
2. How can we determine if a quadratic function has two real roots?
3. What is the general form of a quadratic equation?
4. How does the sign of the leading coefficient affect the direction of the parabola?
5. How can you find the axis of symmetry for a quadratic graph?

### Tip:
The y-intercept of a quadratic function is always the constant term in its standard form \(y = ax^2 + bx + c\).

Sketch a possible graph of a quadratic function which has two real roots (one positive, one negative), a graph that opens downwards, and y-intercept at (0, 4).

Learn how to sketch a quadratic function that has two real roots (one positive, one negative), opens downwards, and has a y-intercept at (0, 4). This guide covers important algebraic concepts like quadratic functions, graphing parabolas, and understanding vertex and root properties. Suitable for Grades 9-10.

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