How can you use a graph to determine the type of solutions a quadratic equation will have?

Write an equation for a function that has a graph with the shape of \( y=x^{2} \), but upside-down and shifted left 5 units and down 2 units. \( f(x)=\square \) (Use integers or fractions for any numbers in the expression.)

Find the domain of the following function. \( f(x)=\frac{1}{x+5} \) Choose the correct domain below. A. \( (-\infty,-5] \) or \( [-5, \infty) \) B. \( (-\infty,-5) \) C. \( (-\infty,-5) \) or \( (-5, \infty) \) D. \( (-5, \infty) \)

The polynomial of degree \( 3, P(x) \), has a root of multiplicity 2 at \( x=5 \) and a root of multiplicity 1 at \( x=-5 \). The \( y \)-intercept is \( y=-50 \). Find a formula for \( P(x) \). \( P(x)= \) Submit Question

6. A shopper bought the following items at the farmer's market: a. 6 ears of corn for \( \$ 1.80 \). What was the cost per ear? b. 12 apples for \( \$ 2,88 \). What was the cost per apple? c. 5 tomatoes for \( \$ 3.10 \). What was the cost per tomato?

a. Determine the points where the curve \( 5 x+5 y^{2}-y=9 \) has a vertical tangent line. b. Does the curve have any horizontal tangent lines?