Math 2-Unit 2 Midterm Review Day 2

Front

What is the x-intercept of the function y=(x-7)(x-5)?

Back

The x-intercept is x=7.

Front

What is the factored form of the quadratic equation y=x²-6x+9?

Back

The factored form is (x-3)(x-3).

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c.

Front

What is the equation of the graph represented by f(x) = (x - 1)² - 5?

Back

The equation is f(x) = (x - 1)² - 5.

Front

What is the factored form of the quadratic equation y=x²-9x+14?

Back

The factored form is (x-7)(x-2).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y=0 and solve for x.

Front

What does the vertex form of a quadratic function look like?

Back

The vertex form is f(x) = a(x-h)² + k, where (h,k) is the vertex.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a>0, downward if a<0).

Front

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

Back

Check the sign of the 'a' coefficient in the standard form.

Front

What is the relationship between the roots and the factors of a quadratic equation?

Back

The roots are the values of x that make the factors equal to zero.