Review of Key Features of Quadratics in Vertex & Standard Form

Front

What is the y-intercept for the equation: y = -8x² + 3x - 7?

Back

(0, -7)

Front

Does the parabola f(x)=4(x-2)² + 3 open up or down?

Back

up

Front

Define Y-intercept.

Back

Where the parabola touches or intersects the y-axis.

Front

When did the ball reach its maximum height? Choose the key feature and the answer: y-intercept, 3 secs; x-value of the vertex, 4 secs; y-value of the vertex, 5 secs; y-intercept, 0 secs.

Back

x-value of the vertex, 4 secs.

Front

What is the axis of symmetry for the equation: y=4x²-8x+9?

Back

x=1

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' indicate in the quadratic equation?

Back

It indicates the direction of the parabola: if a > 0, it opens up; if a < 0, it opens down.

Front

What is the vertex of a parabola in standard form?

Back

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

Front

How do you find the x-coordinate of the vertex from the standard form of a quadratic equation?

Back

x = -b/(2a) from the equation y = ax² + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number of real roots: if > 0, two real roots; = 0, one real root; < 0, no real roots.