Quadratic Function In Vertex Form

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What does the parameter 'a' in the vertex form indicate?

Back

The parameter 'a' indicates the direction and the vertical stretch or compression of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

How does the value of 'h' affect the graph of the quadratic function?

Back

The value of 'h' shifts the graph horizontally. If 'h' is positive, the graph shifts to the right; if negative, it shifts to the left.

Front

How does the value of 'k' affect the graph of the quadratic function?

Back

The value of 'k' shifts the graph vertically. If 'k' is positive, the graph shifts up; if negative, it shifts down.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.

Front

How do you find the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in vertex form y = a(x - h)² + k is the point (h, k).

Front

What transformation does the equation y = 3(x + 2)² represent?

Back

The equation y = 3(x + 2)² represents a vertical stretch by a factor of 3 and a shift left by 2.

Front

What is the significance of the y-intercept in a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, found by setting x = 0 in the function.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if 'a' > 0 and downwards if 'a' < 0.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax² + bx + c.